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Finding the Fourth Proportional to 10,474.36, 15,713.87 and 3,078.86

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Solution

The fourth proportional to 10,474.36, 15,713.87 and 3,078.86 is: 4,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.36 : 15,713.87 = 3,078.86 : x
  2. Step 2: Convert to fraction form
    10,474.36/15,713.87 = 3,078.86/x
  3. Step 3: Cross multiply
    10,474.36x = 15,713.87 × 3,078.86
  4. Step 4: Simplify right side
    10,474.36x = 48,380,711.82
  5. Step 5: Solve for x
    x = 48,380,711.82/10,474.36
  6. Step 6: Final answer
    x = 4,618.97

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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.