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Finding the Fourth Proportional to 11,545.47, 15,931.53 and 6,509.58

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Solution

The fourth proportional to 11,545.47, 15,931.53 and 6,509.58 is: 8,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.47 : 15,931.53 = 6,509.58 : x
  2. Step 2: Convert to fraction form
    11,545.47/15,931.53 = 6,509.58/x
  3. Step 3: Cross multiply
    11,545.47x = 15,931.53 × 6,509.58
  4. Step 4: Simplify right side
    11,545.47x = 103,707,569.06
  5. Step 5: Solve for x
    x = 103,707,569.06/11,545.47
  6. Step 6: Final answer
    x = 8,982.53

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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.