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Finding the Fourth Proportional to 8,729.64, 12,042.68 and 5,190.35

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Solution

The fourth proportional to 8,729.64, 12,042.68 and 5,190.35 is: 7,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.64 : 12,042.68 = 5,190.35 : x
  2. Step 2: Convert to fraction form
    8,729.64/12,042.68 = 5,190.35/x
  3. Step 3: Cross multiply
    8,729.64x = 12,042.68 × 5,190.35
  4. Step 4: Simplify right side
    8,729.64x = 62,505,637.97
  5. Step 5: Solve for x
    x = 62,505,637.97/8,729.64
  6. Step 6: Final answer
    x = 7,160.16

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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.