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Finding the Fourth Proportional to 11,446.92, 15,781.64 and 8,257.55

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Solution

The fourth proportional to 11,446.92, 15,781.64 and 8,257.55 is: 11,384.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.92 : 15,781.64 = 8,257.55 : x
  2. Step 2: Convert to fraction form
    11,446.92/15,781.64 = 8,257.55/x
  3. Step 3: Cross multiply
    11,446.92x = 15,781.64 × 8,257.55
  4. Step 4: Simplify right side
    11,446.92x = 130,317,561.19
  5. Step 5: Solve for x
    x = 130,317,561.19/11,446.92
  6. Step 6: Final answer
    x = 11,384.51

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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.