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Finding the Fourth Proportional to 10,880.48, 16,327.20 and 8,314.40

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Solution

The fourth proportional to 10,880.48, 16,327.20 and 8,314.40 is: 12,476.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.48 : 16,327.20 = 8,314.40 : x
  2. Step 2: Convert to fraction form
    10,880.48/16,327.20 = 8,314.40/x
  3. Step 3: Cross multiply
    10,880.48x = 16,327.20 × 8,314.40
  4. Step 4: Simplify right side
    10,880.48x = 135,750,871.68
  5. Step 5: Solve for x
    x = 135,750,871.68/10,880.48
  6. Step 6: Final answer
    x = 12,476.55

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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.