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Finding the Fourth Proportional to 10,863.40, 16,295.10 and 9,227.20

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Solution

The fourth proportional to 10,863.40, 16,295.10 and 9,227.20 is: 13,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.40 : 16,295.10 = 9,227.20 : x
  2. Step 2: Convert to fraction form
    10,863.40/16,295.10 = 9,227.20/x
  3. Step 3: Cross multiply
    10,863.40x = 16,295.10 × 9,227.20
  4. Step 4: Simplify right side
    10,863.40x = 150,358,146.72
  5. Step 5: Solve for x
    x = 150,358,146.72/10,863.40
  6. Step 6: Final answer
    x = 13,840.80

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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.