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Finding the Fourth Proportional to 10,565.92, 15,847.64 and 2,775.36

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Solution

The fourth proportional to 10,565.92, 15,847.64 and 2,775.36 is: 4,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.92 : 15,847.64 = 2,775.36 : x
  2. Step 2: Convert to fraction form
    10,565.92/15,847.64 = 2,775.36/x
  3. Step 3: Cross multiply
    10,565.92x = 15,847.64 × 2,775.36
  4. Step 4: Simplify right side
    10,565.92x = 43,982,906.15
  5. Step 5: Solve for x
    x = 43,982,906.15/10,565.92
  6. Step 6: Final answer
    x = 4,162.71

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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.