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Finding the Fourth Proportional to 10,438.07, 15,658.92 and 5,511.85

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Solution

The fourth proportional to 10,438.07, 15,658.92 and 5,511.85 is: 8,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.07 : 15,658.92 = 5,511.85 : x
  2. Step 2: Convert to fraction form
    10,438.07/15,658.92 = 5,511.85/x
  3. Step 3: Cross multiply
    10,438.07x = 15,658.92 × 5,511.85
  4. Step 4: Simplify right side
    10,438.07x = 86,309,579.05
  5. Step 5: Solve for x
    x = 86,309,579.05/10,438.07
  6. Step 6: Final answer
    x = 8,268.73

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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.