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Finding the Fourth Proportional to 10,034.84, 15,049.82 and 4,191.48

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Solution

The fourth proportional to 10,034.84, 15,049.82 and 4,191.48 is: 6,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.84 : 15,049.82 = 4,191.48 : x
  2. Step 2: Convert to fraction form
    10,034.84/15,049.82 = 4,191.48/x
  3. Step 3: Cross multiply
    10,034.84x = 15,049.82 × 4,191.48
  4. Step 4: Simplify right side
    10,034.84x = 63,081,019.53
  5. Step 5: Solve for x
    x = 63,081,019.53/10,034.84
  6. Step 6: Final answer
    x = 6,286.20

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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.