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Finding the Fourth Proportional to 11,628.48, 16,044.80 and 6,914.40

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Solution

The fourth proportional to 11,628.48, 16,044.80 and 6,914.40 is: 9,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.48 : 16,044.80 = 6,914.40 : x
  2. Step 2: Convert to fraction form
    11,628.48/16,044.80 = 6,914.40/x
  3. Step 3: Cross multiply
    11,628.48x = 16,044.80 × 6,914.40
  4. Step 4: Simplify right side
    11,628.48x = 110,940,165.12
  5. Step 5: Solve for x
    x = 110,940,165.12/11,628.48
  6. Step 6: Final answer
    x = 9,540.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.