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Finding the Fourth Proportional to 8,078.92, 12,116.34 and 5,732.08

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Solution

The fourth proportional to 8,078.92, 12,116.34 and 5,732.08 is: 8,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.92 : 12,116.34 = 5,732.08 : x
  2. Step 2: Convert to fraction form
    8,078.92/12,116.34 = 5,732.08/x
  3. Step 3: Cross multiply
    8,078.92x = 12,116.34 × 5,732.08
  4. Step 4: Simplify right side
    8,078.92x = 69,451,830.19
  5. Step 5: Solve for x
    x = 69,451,830.19/8,078.92
  6. Step 6: Final answer
    x = 8,596.67

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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.