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Finding the Fourth Proportional to 8,504.75, 12,744.82 and 4,799.15

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Solution

The fourth proportional to 8,504.75, 12,744.82 and 4,799.15 is: 7,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.75 : 12,744.82 = 4,799.15 : x
  2. Step 2: Convert to fraction form
    8,504.75/12,744.82 = 4,799.15/x
  3. Step 3: Cross multiply
    8,504.75x = 12,744.82 × 4,799.15
  4. Step 4: Simplify right side
    8,504.75x = 61,164,302.90
  5. Step 5: Solve for x
    x = 61,164,302.90/8,504.75
  6. Step 6: Final answer
    x = 7,191.78

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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.