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Finding the Fourth Proportional to 10,034.38, 15,049.52 and 3,461.22

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Solution

The fourth proportional to 10,034.38, 15,049.52 and 3,461.22 is: 5,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.38 : 15,049.52 = 3,461.22 : x
  2. Step 2: Convert to fraction form
    10,034.38/15,049.52 = 3,461.22/x
  3. Step 3: Cross multiply
    10,034.38x = 15,049.52 × 3,461.22
  4. Step 4: Simplify right side
    10,034.38x = 52,089,699.61
  5. Step 5: Solve for x
    x = 52,089,699.61/10,034.38
  6. Step 6: Final answer
    x = 5,191.12

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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.