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Finding the Fourth Proportional to 10,049.81, 15,076.43 and 3,474.47

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Solution

The fourth proportional to 10,049.81, 15,076.43 and 3,474.47 is: 5,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.81 : 15,076.43 = 3,474.47 : x
  2. Step 2: Convert to fraction form
    10,049.81/15,076.43 = 3,474.47/x
  3. Step 3: Cross multiply
    10,049.81x = 15,076.43 × 3,474.47
  4. Step 4: Simplify right side
    10,049.81x = 52,382,510.99
  5. Step 5: Solve for x
    x = 52,382,510.99/10,049.81
  6. Step 6: Final answer
    x = 5,212.29

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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.