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Finding the Fourth Proportional to 10,252.42, 15,375.24 and 4,010.82

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Solution

The fourth proportional to 10,252.42, 15,375.24 and 4,010.82 is: 6,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.42 : 15,375.24 = 4,010.82 : x
  2. Step 2: Convert to fraction form
    10,252.42/15,375.24 = 4,010.82/x
  3. Step 3: Cross multiply
    10,252.42x = 15,375.24 × 4,010.82
  4. Step 4: Simplify right side
    10,252.42x = 61,667,320.10
  5. Step 5: Solve for x
    x = 61,667,320.10/10,252.42
  6. Step 6: Final answer
    x = 6,014.90

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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.