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Finding the Fourth Proportional to 8,856.27, 13,284.41 and 8,471.90

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Solution

The fourth proportional to 8,856.27, 13,284.41 and 8,471.90 is: 12,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856.27 : 13,284.41 = 8,471.90 : x
  2. Step 2: Convert to fraction form
    8,856.27/13,284.41 = 8,471.90/x
  3. Step 3: Cross multiply
    8,856.27x = 13,284.41 × 8,471.90
  4. Step 4: Simplify right side
    8,856.27x = 112,544,183.93
  5. Step 5: Solve for x
    x = 112,544,183.93/8,856.27
  6. Step 6: Final answer
    x = 12,707.85

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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.