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Finding the Fourth Proportional to 10,894,546.80, 16,299,829.80 and 7,115,410.80

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Solution

The fourth proportional to 10,894,546.80, 16,299,829.80 and 7,115,410.80 is: 10,645,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894,546.80 : 16,299,829.80 = 7,115,410.80 : x
  2. Step 2: Convert to fraction form
    10,894,546.80/16,299,829.80 = 7,115,410.80/x
  3. Step 3: Cross multiply
    10,894,546.80x = 16,299,829.80 × 7,115,410.80
  4. Step 4: Simplify right side
    10,894,546.80x = 115,979,984,997,081.84
  5. Step 5: Solve for x
    x = 115,979,984,997,081.84/10,894,546.80
  6. Step 6: Final answer
    x = 10,645,691.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.