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Finding the Fourth Proportional to 6,874.43, 10,293.18 and 5,656.55

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Solution

The fourth proportional to 6,874.43, 10,293.18 and 5,656.55 is: 8,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.43 : 10,293.18 = 5,656.55 : x
  2. Step 2: Convert to fraction form
    6,874.43/10,293.18 = 5,656.55/x
  3. Step 3: Cross multiply
    6,874.43x = 10,293.18 × 5,656.55
  4. Step 4: Simplify right side
    6,874.43x = 58,223,835.86
  5. Step 5: Solve for x
    x = 58,223,835.86/6,874.43
  6. Step 6: Final answer
    x = 8,469.63

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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.