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Finding the Fourth Proportional to 10,372.55, 15,560.82 and 5,690

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Solution

The fourth proportional to 10,372.55, 15,560.82 and 5,690 is: 8,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.55 : 15,560.82 = 5,690 : x
  2. Step 2: Convert to fraction form
    10,372.55/15,560.82 = 5,690/x
  3. Step 3: Cross multiply
    10,372.55x = 15,560.82 × 5,690
  4. Step 4: Simplify right side
    10,372.55x = 88,541,065.80
  5. Step 5: Solve for x
    x = 88,541,065.80/10,372.55
  6. Step 6: Final answer
    x = 8,536.09

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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.