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Finding the Fourth Proportional to 10,688.69, 16,020.05 and 7,569.61

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Solution

The fourth proportional to 10,688.69, 16,020.05 and 7,569.61 is: 11,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.69 : 16,020.05 = 7,569.61 : x
  2. Step 2: Convert to fraction form
    10,688.69/16,020.05 = 7,569.61/x
  3. Step 3: Cross multiply
    10,688.69x = 16,020.05 × 7,569.61
  4. Step 4: Simplify right side
    10,688.69x = 121,265,452.78
  5. Step 5: Solve for x
    x = 121,265,452.78/10,688.69
  6. Step 6: Final answer
    x = 11,345.21

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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.