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Finding the Fourth Proportional to 10,049.52, 15,076.35 and 3,474.84

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Solution

The fourth proportional to 10,049.52, 15,076.35 and 3,474.84 is: 5,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.52 : 15,076.35 = 3,474.84 : x
  2. Step 2: Convert to fraction form
    10,049.52/15,076.35 = 3,474.84/x
  3. Step 3: Cross multiply
    10,049.52x = 15,076.35 × 3,474.84
  4. Step 4: Simplify right side
    10,049.52x = 52,387,904.03
  5. Step 5: Solve for x
    x = 52,387,904.03/10,049.52
  6. Step 6: Final answer
    x = 5,212.98

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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.