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Finding the Fourth Proportional to 10,424.96, 15,630.96 and 5,491.52

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Solution

The fourth proportional to 10,424.96, 15,630.96 and 5,491.52 is: 8,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.96 : 15,630.96 = 5,491.52 : x
  2. Step 2: Convert to fraction form
    10,424.96/15,630.96 = 5,491.52/x
  3. Step 3: Cross multiply
    10,424.96x = 15,630.96 × 5,491.52
  4. Step 4: Simplify right side
    10,424.96x = 85,837,729.46
  5. Step 5: Solve for x
    x = 85,837,729.46/10,424.96
  6. Step 6: Final answer
    x = 8,233.87

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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.