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Finding the Fourth Proportional to 8,089.92, 11,177.28 and 6,107.04

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Solution

The fourth proportional to 8,089.92, 11,177.28 and 6,107.04 is: 8,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.92 : 11,177.28 = 6,107.04 : x
  2. Step 2: Convert to fraction form
    8,089.92/11,177.28 = 6,107.04/x
  3. Step 3: Cross multiply
    8,089.92x = 11,177.28 × 6,107.04
  4. Step 4: Simplify right side
    8,089.92x = 68,260,096.05
  5. Step 5: Solve for x
    x = 68,260,096.05/8,089.92
  6. Step 6: Final answer
    x = 8,437.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.