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Finding the Fourth Proportional to 10,689.12, 16,044.48 and 9,911.52

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Solution

The fourth proportional to 10,689.12, 16,044.48 and 9,911.52 is: 14,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.12 : 16,044.48 = 9,911.52 : x
  2. Step 2: Convert to fraction form
    10,689.12/16,044.48 = 9,911.52/x
  3. Step 3: Cross multiply
    10,689.12x = 16,044.48 × 9,911.52
  4. Step 4: Simplify right side
    10,689.12x = 159,025,184.41
  5. Step 5: Solve for x
    x = 159,025,184.41/10,689.12
  6. Step 6: Final answer
    x = 14,877.29

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