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Finding the Fourth Proportional to 10,077.96, 15,119.68 and 3,504.52

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Solution

The fourth proportional to 10,077.96, 15,119.68 and 3,504.52 is: 5,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.96 : 15,119.68 = 3,504.52 : x
  2. Step 2: Convert to fraction form
    10,077.96/15,119.68 = 3,504.52/x
  3. Step 3: Cross multiply
    10,077.96x = 15,119.68 × 3,504.52
  4. Step 4: Simplify right side
    10,077.96x = 52,987,220.95
  5. Step 5: Solve for x
    x = 52,987,220.95/10,077.96
  6. Step 6: Final answer
    x = 5,257.73

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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.