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Finding the Fourth Proportional to 8,006.40, 12,011.40 and 3,076.04

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Solution

The fourth proportional to 8,006.40, 12,011.40 and 3,076.04 is: 4,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.40 : 12,011.40 = 3,076.04 : x
  2. Step 2: Convert to fraction form
    8,006.40/12,011.40 = 3,076.04/x
  3. Step 3: Cross multiply
    8,006.40x = 12,011.40 × 3,076.04
  4. Step 4: Simplify right side
    8,006.40x = 36,947,546.86
  5. Step 5: Solve for x
    x = 36,947,546.86/8,006.40
  6. Step 6: Final answer
    x = 4,614.75

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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.