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Finding the Fourth Proportional to 8,400.71, 11,589.89 and 5,042.25

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Solution

The fourth proportional to 8,400.71, 11,589.89 and 5,042.25 is: 6,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.71 : 11,589.89 = 5,042.25 : x
  2. Step 2: Convert to fraction form
    8,400.71/11,589.89 = 5,042.25/x
  3. Step 3: Cross multiply
    8,400.71x = 11,589.89 × 5,042.25
  4. Step 4: Simplify right side
    8,400.71x = 58,439,097.64
  5. Step 5: Solve for x
    x = 58,439,097.64/8,400.71
  6. Step 6: Final answer
    x = 6,956.45

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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.