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Finding the Fourth Proportional to 10,126.09, 15,189.09 and 2,731.30

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Solution

The fourth proportional to 10,126.09, 15,189.09 and 2,731.30 is: 4,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126.09 : 15,189.09 = 2,731.30 : x
  2. Step 2: Convert to fraction form
    10,126.09/15,189.09 = 2,731.30/x
  3. Step 3: Cross multiply
    10,126.09x = 15,189.09 × 2,731.30
  4. Step 4: Simplify right side
    10,126.09x = 41,485,885.57
  5. Step 5: Solve for x
    x = 41,485,885.57/10,126.09
  6. Step 6: Final answer
    x = 4,096.93

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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.