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Finding the Fourth Proportional to 11,545.71, 15,932.77 and 6,509.89

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Solution

The fourth proportional to 11,545.71, 15,932.77 and 6,509.89 is: 8,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.71 : 15,932.77 = 6,509.89 : x
  2. Step 2: Convert to fraction form
    11,545.71/15,932.77 = 6,509.89/x
  3. Step 3: Cross multiply
    11,545.71x = 15,932.77 × 6,509.89
  4. Step 4: Simplify right side
    11,545.71x = 103,720,547.55
  5. Step 5: Solve for x
    x = 103,720,547.55/11,545.71
  6. Step 6: Final answer
    x = 8,983.47

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