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Finding the Fourth Proportional to 6,863.85, 10,281.42 and 5,691.06

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Solution

The fourth proportional to 6,863.85, 10,281.42 and 5,691.06 is: 8,524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.85 : 10,281.42 = 5,691.06 : x
  2. Step 2: Convert to fraction form
    6,863.85/10,281.42 = 5,691.06/x
  3. Step 3: Cross multiply
    6,863.85x = 10,281.42 × 5,691.06
  4. Step 4: Simplify right side
    6,863.85x = 58,512,178.11
  5. Step 5: Solve for x
    x = 58,512,178.11/6,863.85
  6. Step 6: Final answer
    x = 8,524.69

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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.