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Finding the Fourth Proportional to 10,071.38, 15,039.22 and 8,226.14

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Solution

The fourth proportional to 10,071.38, 15,039.22 and 8,226.14 is: 12,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.38 : 15,039.22 = 8,226.14 : x
  2. Step 2: Convert to fraction form
    10,071.38/15,039.22 = 8,226.14/x
  3. Step 3: Cross multiply
    10,071.38x = 15,039.22 × 8,226.14
  4. Step 4: Simplify right side
    10,071.38x = 123,714,729.21
  5. Step 5: Solve for x
    x = 123,714,729.21/10,071.38
  6. Step 6: Final answer
    x = 12,283.79

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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.