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Finding the Fourth Proportional to 7,610.24, 10,502.17 and 4,253.20

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Solution

The fourth proportional to 7,610.24, 10,502.17 and 4,253.20 is: 5,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.24 : 10,502.17 = 4,253.20 : x
  2. Step 2: Convert to fraction form
    7,610.24/10,502.17 = 4,253.20/x
  3. Step 3: Cross multiply
    7,610.24x = 10,502.17 × 4,253.20
  4. Step 4: Simplify right side
    7,610.24x = 44,667,829.44
  5. Step 5: Solve for x
    x = 44,667,829.44/7,610.24
  6. Step 6: Final answer
    x = 5,869.44

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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.