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Finding the Fourth Proportional to 8,009.62, 12,015.57 and 2,463.42

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Solution

The fourth proportional to 8,009.62, 12,015.57 and 2,463.42 is: 3,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.62 : 12,015.57 = 2,463.42 : x
  2. Step 2: Convert to fraction form
    8,009.62/12,015.57 = 2,463.42/x
  3. Step 3: Cross multiply
    8,009.62x = 12,015.57 × 2,463.42
  4. Step 4: Simplify right side
    8,009.62x = 29,599,425.49
  5. Step 5: Solve for x
    x = 29,599,425.49/8,009.62
  6. Step 6: Final answer
    x = 3,695.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.