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Finding the Fourth Proportional to 11,472.29, 15,831.86 and 6,436.61

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Solution

The fourth proportional to 11,472.29, 15,831.86 and 6,436.61 is: 8,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.29 : 15,831.86 = 6,436.61 : x
  2. Step 2: Convert to fraction form
    11,472.29/15,831.86 = 6,436.61/x
  3. Step 3: Cross multiply
    11,472.29x = 15,831.86 × 6,436.61
  4. Step 4: Simplify right side
    11,472.29x = 101,903,397.05
  5. Step 5: Solve for x
    x = 101,903,397.05/11,472.29
  6. Step 6: Final answer
    x = 8,882.57

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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.