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Finding the Fourth Proportional to 8,326.82, 12,491.06 and 2,780.19

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Solution

The fourth proportional to 8,326.82, 12,491.06 and 2,780.19 is: 4,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.82 : 12,491.06 = 2,780.19 : x
  2. Step 2: Convert to fraction form
    8,326.82/12,491.06 = 2,780.19/x
  3. Step 3: Cross multiply
    8,326.82x = 12,491.06 × 2,780.19
  4. Step 4: Simplify right side
    8,326.82x = 34,727,506.20
  5. Step 5: Solve for x
    x = 34,727,506.20/8,326.82
  6. Step 6: Final answer
    x = 4,170.56

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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.