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Finding the Fourth Proportional to 8,063.88, 12,096.02 and 2,869.75

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Solution

The fourth proportional to 8,063.88, 12,096.02 and 2,869.75 is: 4,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.88 : 12,096.02 = 2,869.75 : x
  2. Step 2: Convert to fraction form
    8,063.88/12,096.02 = 2,869.75/x
  3. Step 3: Cross multiply
    8,063.88x = 12,096.02 × 2,869.75
  4. Step 4: Simplify right side
    8,063.88x = 34,712,553.40
  5. Step 5: Solve for x
    x = 34,712,553.40/8,063.88
  6. Step 6: Final answer
    x = 4,304.70

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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.