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Finding the Fourth Proportional to 10,151.94, 15,229.14 and 3,576.78

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Solution

The fourth proportional to 10,151.94, 15,229.14 and 3,576.78 is: 5,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.94 : 15,229.14 = 3,576.78 : x
  2. Step 2: Convert to fraction form
    10,151.94/15,229.14 = 3,576.78/x
  3. Step 3: Cross multiply
    10,151.94x = 15,229.14 × 3,576.78
  4. Step 4: Simplify right side
    10,151.94x = 54,471,283.37
  5. Step 5: Solve for x
    x = 54,471,283.37/10,151.94
  6. Step 6: Final answer
    x = 5,365.60

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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.