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Finding the Fourth Proportional to 10,438.58, 15,650.94 and 5,760.83

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Solution

The fourth proportional to 10,438.58, 15,650.94 and 5,760.83 is: 8,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.58 : 15,650.94 = 5,760.83 : x
  2. Step 2: Convert to fraction form
    10,438.58/15,650.94 = 5,760.83/x
  3. Step 3: Cross multiply
    10,438.58x = 15,650.94 × 5,760.83
  4. Step 4: Simplify right side
    10,438.58x = 90,162,404.68
  5. Step 5: Solve for x
    x = 90,162,404.68/10,438.58
  6. Step 6: Final answer
    x = 8,637.42

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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.