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Finding the Fourth Proportional to 10,912.60, 16,344.60 and 9,454.60

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Solution

The fourth proportional to 10,912.60, 16,344.60 and 9,454.60 is: 14,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.60 : 16,344.60 = 9,454.60 : x
  2. Step 2: Convert to fraction form
    10,912.60/16,344.60 = 9,454.60/x
  3. Step 3: Cross multiply
    10,912.60x = 16,344.60 × 9,454.60
  4. Step 4: Simplify right side
    10,912.60x = 154,531,655.16
  5. Step 5: Solve for x
    x = 154,531,655.16/10,912.60
  6. Step 6: Final answer
    x = 14,160.85

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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.