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Finding the Fourth Proportional to 7,793.64, 11,690.08 and 2,862.90

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Solution

The fourth proportional to 7,793.64, 11,690.08 and 2,862.90 is: 4,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.64 : 11,690.08 = 2,862.90 : x
  2. Step 2: Convert to fraction form
    7,793.64/11,690.08 = 2,862.90/x
  3. Step 3: Cross multiply
    7,793.64x = 11,690.08 × 2,862.90
  4. Step 4: Simplify right side
    7,793.64x = 33,467,530.03
  5. Step 5: Solve for x
    x = 33,467,530.03/7,793.64
  6. Step 6: Final answer
    x = 4,294.21

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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.