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Finding the Fourth Proportional to 10,297.12, 15,452.97 and 7,377.88

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Solution

The fourth proportional to 10,297.12, 15,452.97 and 7,377.88 is: 11,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.12 : 15,452.97 = 7,377.88 : x
  2. Step 2: Convert to fraction form
    10,297.12/15,452.97 = 7,377.88/x
  3. Step 3: Cross multiply
    10,297.12x = 15,452.97 × 7,377.88
  4. Step 4: Simplify right side
    10,297.12x = 114,010,158.30
  5. Step 5: Solve for x
    x = 114,010,158.30/10,297.12
  6. Step 6: Final answer
    x = 11,072.04

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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.