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Finding the Fourth Proportional to 10,074.38, 15,043.72 and 8,229.14

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Solution

The fourth proportional to 10,074.38, 15,043.72 and 8,229.14 is: 12,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.38 : 15,043.72 = 8,229.14 : x
  2. Step 2: Convert to fraction form
    10,074.38/15,043.72 = 8,229.14/x
  3. Step 3: Cross multiply
    10,074.38x = 15,043.72 × 8,229.14
  4. Step 4: Simplify right side
    10,074.38x = 123,796,878.00
  5. Step 5: Solve for x
    x = 123,796,878.00/10,074.38
  6. Step 6: Final answer
    x = 12,288.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.