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Finding the Fourth Proportional to 10,311.89, 15,447.92 and 6,155.21

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Solution

The fourth proportional to 10,311.89, 15,447.92 and 6,155.21 is: 9,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.89 : 15,447.92 = 6,155.21 : x
  2. Step 2: Convert to fraction form
    10,311.89/15,447.92 = 6,155.21/x
  3. Step 3: Cross multiply
    10,311.89x = 15,447.92 × 6,155.21
  4. Step 4: Simplify right side
    10,311.89x = 95,085,083.65
  5. Step 5: Solve for x
    x = 95,085,083.65/10,311.89
  6. Step 6: Final answer
    x = 9,220.92

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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.