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Finding the Fourth Proportional to 6,863.77, 10,291.74 and 2,182.87

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Solution

The fourth proportional to 6,863.77, 10,291.74 and 2,182.87 is: 3,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.77 : 10,291.74 = 2,182.87 : x
  2. Step 2: Convert to fraction form
    6,863.77/10,291.74 = 2,182.87/x
  3. Step 3: Cross multiply
    6,863.77x = 10,291.74 × 2,182.87
  4. Step 4: Simplify right side
    6,863.77x = 22,465,530.49
  5. Step 5: Solve for x
    x = 22,465,530.49/6,863.77
  6. Step 6: Final answer
    x = 3,273.06

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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.