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Finding the Fourth Proportional to 8,439.96, 11,630.70 and 6,077.64

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Solution

The fourth proportional to 8,439.96, 11,630.70 and 6,077.64 is: 8,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.96 : 11,630.70 = 6,077.64 : x
  2. Step 2: Convert to fraction form
    8,439.96/11,630.70 = 6,077.64/x
  3. Step 3: Cross multiply
    8,439.96x = 11,630.70 × 6,077.64
  4. Step 4: Simplify right side
    8,439.96x = 70,687,207.55
  5. Step 5: Solve for x
    x = 70,687,207.55/8,439.96
  6. Step 6: Final answer
    x = 8,375.30

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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.