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Finding the Fourth Proportional to 8,155.68, 12,232.23 and 6,777.87

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Solution

The fourth proportional to 8,155.68, 12,232.23 and 6,777.87 is: 10,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.68 : 12,232.23 = 6,777.87 : x
  2. Step 2: Convert to fraction form
    8,155.68/12,232.23 = 6,777.87/x
  3. Step 3: Cross multiply
    8,155.68x = 12,232.23 × 6,777.87
  4. Step 4: Simplify right side
    8,155.68x = 82,908,464.75
  5. Step 5: Solve for x
    x = 82,908,464.75/8,155.68
  6. Step 6: Final answer
    x = 10,165.73

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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.