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Finding the Fourth Proportional to 8,314.76, 12,473.49 and 2,767.52

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Solution

The fourth proportional to 8,314.76, 12,473.49 and 2,767.52 is: 4,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.76 : 12,473.49 = 2,767.52 : x
  2. Step 2: Convert to fraction form
    8,314.76/12,473.49 = 2,767.52/x
  3. Step 3: Cross multiply
    8,314.76x = 12,473.49 × 2,767.52
  4. Step 4: Simplify right side
    8,314.76x = 34,520,570.68
  5. Step 5: Solve for x
    x = 34,520,570.68/8,314.76
  6. Step 6: Final answer
    x = 4,151.72

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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.