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Finding the Fourth Proportional to 10,438.92, 15,656.67 and 3,418.83

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Solution

The fourth proportional to 10,438.92, 15,656.67 and 3,418.83 is: 5,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.92 : 15,656.67 = 3,418.83 : x
  2. Step 2: Convert to fraction form
    10,438.92/15,656.67 = 3,418.83/x
  3. Step 3: Cross multiply
    10,438.92x = 15,656.67 × 3,418.83
  4. Step 4: Simplify right side
    10,438.92x = 53,527,493.10
  5. Step 5: Solve for x
    x = 53,527,493.10/10,438.92
  6. Step 6: Final answer
    x = 5,127.68

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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.