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Finding the Fourth Proportional to 8,102.76, 12,145.50 and 5,787.24

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Solution

The fourth proportional to 8,102.76, 12,145.50 and 5,787.24 is: 8,674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.76 : 12,145.50 = 5,787.24 : x
  2. Step 2: Convert to fraction form
    8,102.76/12,145.50 = 5,787.24/x
  3. Step 3: Cross multiply
    8,102.76x = 12,145.50 × 5,787.24
  4. Step 4: Simplify right side
    8,102.76x = 70,288,923.42
  5. Step 5: Solve for x
    x = 70,288,923.42/8,102.76
  6. Step 6: Final answer
    x = 8,674.69

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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.