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Finding the Fourth Proportional to 8,323.20, 12,489.12 and 5,402.88

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Solution

The fourth proportional to 8,323.20, 12,489.12 and 5,402.88 is: 8,107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.20 : 12,489.12 = 5,402.88 : x
  2. Step 2: Convert to fraction form
    8,323.20/12,489.12 = 5,402.88/x
  3. Step 3: Cross multiply
    8,323.20x = 12,489.12 × 5,402.88
  4. Step 4: Simplify right side
    8,323.20x = 67,477,216.67
  5. Step 5: Solve for x
    x = 67,477,216.67/8,323.20
  6. Step 6: Final answer
    x = 8,107.12

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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.