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Finding the Fourth Proportional to 10,049, 15,074.78 and 2,753

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Solution

The fourth proportional to 10,049, 15,074.78 and 2,753 is: 4,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049 : 15,074.78 = 2,753 : x
  2. Step 2: Convert to fraction form
    10,049/15,074.78 = 2,753/x
  3. Step 3: Cross multiply
    10,049x = 15,074.78 × 2,753
  4. Step 4: Simplify right side
    10,049x = 41,500,869.34
  5. Step 5: Solve for x
    x = 41,500,869.34/10,049
  6. Step 6: Final answer
    x = 4,129.85

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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.