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Finding the Fourth Proportional to 8,041.92, 12,077.52 and 7,697.52

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Solution

The fourth proportional to 8,041.92, 12,077.52 and 7,697.52 is: 11,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.92 : 12,077.52 = 7,697.52 : x
  2. Step 2: Convert to fraction form
    8,041.92/12,077.52 = 7,697.52/x
  3. Step 3: Cross multiply
    8,041.92x = 12,077.52 × 7,697.52
  4. Step 4: Simplify right side
    8,041.92x = 92,966,951.75
  5. Step 5: Solve for x
    x = 92,966,951.75/8,041.92
  6. Step 6: Final answer
    x = 11,560.29

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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.