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Finding the Fourth Proportional to 8,770.42, 12,098.68 and 5,937.90

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Solution

The fourth proportional to 8,770.42, 12,098.68 and 5,937.90 is: 8,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.42 : 12,098.68 = 5,937.90 : x
  2. Step 2: Convert to fraction form
    8,770.42/12,098.68 = 5,937.90/x
  3. Step 3: Cross multiply
    8,770.42x = 12,098.68 × 5,937.90
  4. Step 4: Simplify right side
    8,770.42x = 71,840,751.97
  5. Step 5: Solve for x
    x = 71,840,751.97/8,770.42
  6. Step 6: Final answer
    x = 8,191.26

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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.