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Finding the Fourth Proportional to 8,326.34, 12,486.75 and 2,778.14

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Solution

The fourth proportional to 8,326.34, 12,486.75 and 2,778.14 is: 4,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.34 : 12,486.75 = 2,778.14 : x
  2. Step 2: Convert to fraction form
    8,326.34/12,486.75 = 2,778.14/x
  3. Step 3: Cross multiply
    8,326.34x = 12,486.75 × 2,778.14
  4. Step 4: Simplify right side
    8,326.34x = 34,689,939.65
  5. Step 5: Solve for x
    x = 34,689,939.65/8,326.34
  6. Step 6: Final answer
    x = 4,166.29

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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.