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Finding the Fourth Proportional to 10,380.38, 15,570.71 and 3,454.88

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Solution

The fourth proportional to 10,380.38, 15,570.71 and 3,454.88 is: 5,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.38 : 15,570.71 = 3,454.88 : x
  2. Step 2: Convert to fraction form
    10,380.38/15,570.71 = 3,454.88/x
  3. Step 3: Cross multiply
    10,380.38x = 15,570.71 × 3,454.88
  4. Step 4: Simplify right side
    10,380.38x = 53,794,839.44
  5. Step 5: Solve for x
    x = 53,794,839.44/10,380.38
  6. Step 6: Final answer
    x = 5,182.36

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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.