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Finding the Fourth Proportional to 8,770.14, 12,105 and 5,631.80

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Solution

The fourth proportional to 8,770.14, 12,105 and 5,631.80 is: 7,773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.14 : 12,105 = 5,631.80 : x
  2. Step 2: Convert to fraction form
    8,770.14/12,105 = 5,631.80/x
  3. Step 3: Cross multiply
    8,770.14x = 12,105 × 5,631.80
  4. Step 4: Simplify right side
    8,770.14x = 68,172,878.48
  5. Step 5: Solve for x
    x = 68,172,878.48/8,770.14
  6. Step 6: Final answer
    x = 7,773.29

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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.