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Finding the Fourth Proportional to 8,399.64, 11,591.70 and 5,042.58

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Solution

The fourth proportional to 8,399.64, 11,591.70 and 5,042.58 is: 6,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.64 : 11,591.70 = 5,042.58 : x
  2. Step 2: Convert to fraction form
    8,399.64/11,591.70 = 5,042.58/x
  3. Step 3: Cross multiply
    8,399.64x = 11,591.70 × 5,042.58
  4. Step 4: Simplify right side
    8,399.64x = 58,452,074.59
  5. Step 5: Solve for x
    x = 58,452,074.59/8,399.64
  6. Step 6: Final answer
    x = 6,958.88

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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.