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Finding the Fourth Proportional to 10,432.92, 15,650.23 and 3,412.79

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Solution

The fourth proportional to 10,432.92, 15,650.23 and 3,412.79 is: 5,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432.92 : 15,650.23 = 3,412.79 : x
  2. Step 2: Convert to fraction form
    10,432.92/15,650.23 = 3,412.79/x
  3. Step 3: Cross multiply
    10,432.92x = 15,650.23 × 3,412.79
  4. Step 4: Simplify right side
    10,432.92x = 53,410,948.44
  5. Step 5: Solve for x
    x = 53,410,948.44/10,432.92
  6. Step 6: Final answer
    x = 5,119.46

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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.