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Finding the Fourth Proportional to 8,811.92, 13,214.04 and 2,966.96

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Solution

The fourth proportional to 8,811.92, 13,214.04 and 2,966.96 is: 4,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.92 : 13,214.04 = 2,966.96 : x
  2. Step 2: Convert to fraction form
    8,811.92/13,214.04 = 2,966.96/x
  3. Step 3: Cross multiply
    8,811.92x = 13,214.04 × 2,966.96
  4. Step 4: Simplify right side
    8,811.92x = 39,205,528.12
  5. Step 5: Solve for x
    x = 39,205,528.12/8,811.92
  6. Step 6: Final answer
    x = 4,449.15

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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.