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Finding the Fourth Proportional to 8,327.32, 12,486.76 and 2,778.68

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Solution

The fourth proportional to 8,327.32, 12,486.76 and 2,778.68 is: 4,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.32 : 12,486.76 = 2,778.68 : x
  2. Step 2: Convert to fraction form
    8,327.32/12,486.76 = 2,778.68/x
  3. Step 3: Cross multiply
    8,327.32x = 12,486.76 × 2,778.68
  4. Step 4: Simplify right side
    8,327.32x = 34,696,710.28
  5. Step 5: Solve for x
    x = 34,696,710.28/8,327.32
  6. Step 6: Final answer
    x = 4,166.61

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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.