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Finding the Fourth Proportional to 11,612.97, 16,034.22 and 7,142.72

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Solution

The fourth proportional to 11,612.97, 16,034.22 and 7,142.72 is: 9,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.97 : 16,034.22 = 7,142.72 : x
  2. Step 2: Convert to fraction form
    11,612.97/16,034.22 = 7,142.72/x
  3. Step 3: Cross multiply
    11,612.97x = 16,034.22 × 7,142.72
  4. Step 4: Simplify right side
    11,612.97x = 114,527,863.71
  5. Step 5: Solve for x
    x = 114,527,863.71/11,612.97
  6. Step 6: Final answer
    x = 9,862.06

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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.