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Finding the Fourth Proportional to 11,618.97, 16,034.52 and 6,314.13

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Solution

The fourth proportional to 11,618.97, 16,034.52 and 6,314.13 is: 8,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.97 : 16,034.52 = 6,314.13 : x
  2. Step 2: Convert to fraction form
    11,618.97/16,034.52 = 6,314.13/x
  3. Step 3: Cross multiply
    11,618.97x = 16,034.52 × 6,314.13
  4. Step 4: Simplify right side
    11,618.97x = 101,244,043.77
  5. Step 5: Solve for x
    x = 101,244,043.77/11,618.97
  6. Step 6: Final answer
    x = 8,713.68

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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.