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Finding the Fourth Proportional to 8,729.40, 12,046.62 and 5,191.92

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Solution

The fourth proportional to 8,729.40, 12,046.62 and 5,191.92 is: 7,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.40 : 12,046.62 = 5,191.92 : x
  2. Step 2: Convert to fraction form
    8,729.40/12,046.62 = 5,191.92/x
  3. Step 3: Cross multiply
    8,729.40x = 12,046.62 × 5,191.92
  4. Step 4: Simplify right side
    8,729.40x = 62,545,087.31
  5. Step 5: Solve for x
    x = 62,545,087.31/8,729.40
  6. Step 6: Final answer
    x = 7,164.88

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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.