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Finding the Fourth Proportional to 8,311.72, 12,449.27 and 6,870.60

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Solution

The fourth proportional to 8,311.72, 12,449.27 and 6,870.60 is: 10,290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.72 : 12,449.27 = 6,870.60 : x
  2. Step 2: Convert to fraction form
    8,311.72/12,449.27 = 6,870.60/x
  3. Step 3: Cross multiply
    8,311.72x = 12,449.27 × 6,870.60
  4. Step 4: Simplify right side
    8,311.72x = 85,533,954.46
  5. Step 5: Solve for x
    x = 85,533,954.46/8,311.72
  6. Step 6: Final answer
    x = 10,290.76

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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.