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Finding the Fourth Proportional to 10,962.63, 16,439.09 and 7,677.27

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Solution

The fourth proportional to 10,962.63, 16,439.09 and 7,677.27 is: 11,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962.63 : 16,439.09 = 7,677.27 : x
  2. Step 2: Convert to fraction form
    10,962.63/16,439.09 = 7,677.27/x
  3. Step 3: Cross multiply
    10,962.63x = 16,439.09 × 7,677.27
  4. Step 4: Simplify right side
    10,962.63x = 126,207,294.10
  5. Step 5: Solve for x
    x = 126,207,294.10/10,962.63
  6. Step 6: Final answer
    x = 11,512.50

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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.