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Finding the Fourth Proportional to 10,564.74, 15,847.11 and 4,324.86

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Solution

The fourth proportional to 10,564.74, 15,847.11 and 4,324.86 is: 6,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.74 : 15,847.11 = 4,324.86 : x
  2. Step 2: Convert to fraction form
    10,564.74/15,847.11 = 4,324.86/x
  3. Step 3: Cross multiply
    10,564.74x = 15,847.11 × 4,324.86
  4. Step 4: Simplify right side
    10,564.74x = 68,536,532.15
  5. Step 5: Solve for x
    x = 68,536,532.15/10,564.74
  6. Step 6: Final answer
    x = 6,487.29

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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.