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Finding the Fourth Proportional to 10,163.78, 15,240.05 and 3,141.86

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Solution

The fourth proportional to 10,163.78, 15,240.05 and 3,141.86 is: 4,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.78 : 15,240.05 = 3,141.86 : x
  2. Step 2: Convert to fraction form
    10,163.78/15,240.05 = 3,141.86/x
  3. Step 3: Cross multiply
    10,163.78x = 15,240.05 × 3,141.86
  4. Step 4: Simplify right side
    10,163.78x = 47,882,023.37
  5. Step 5: Solve for x
    x = 47,882,023.37/10,163.78
  6. Step 6: Final answer
    x = 4,711.05

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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.