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Finding the Fourth Proportional to 8,431.74, 12,650.40 and 5,308.08

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Solution

The fourth proportional to 8,431.74, 12,650.40 and 5,308.08 is: 7,963.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.74 : 12,650.40 = 5,308.08 : x
  2. Step 2: Convert to fraction form
    8,431.74/12,650.40 = 5,308.08/x
  3. Step 3: Cross multiply
    8,431.74x = 12,650.40 × 5,308.08
  4. Step 4: Simplify right side
    8,431.74x = 67,149,335.23
  5. Step 5: Solve for x
    x = 67,149,335.23/8,431.74
  6. Step 6: Final answer
    x = 7,963.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.