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Finding the Fourth Proportional to 6,882.86, 10,311.03 and 4,111.76

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Solution

The fourth proportional to 6,882.86, 10,311.03 and 4,111.76 is: 6,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.86 : 10,311.03 = 4,111.76 : x
  2. Step 2: Convert to fraction form
    6,882.86/10,311.03 = 4,111.76/x
  3. Step 3: Cross multiply
    6,882.86x = 10,311.03 × 4,111.76
  4. Step 4: Simplify right side
    6,882.86x = 42,396,429.16
  5. Step 5: Solve for x
    x = 42,396,429.16/6,882.86
  6. Step 6: Final answer
    x = 6,159.71

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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.