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Finding the Fourth Proportional to 7,839.88, 11,759.88 and 2,645.80

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Solution

The fourth proportional to 7,839.88, 11,759.88 and 2,645.80 is: 3,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.88 : 11,759.88 = 2,645.80 : x
  2. Step 2: Convert to fraction form
    7,839.88/11,759.88 = 2,645.80/x
  3. Step 3: Cross multiply
    7,839.88x = 11,759.88 × 2,645.80
  4. Step 4: Simplify right side
    7,839.88x = 31,114,290.50
  5. Step 5: Solve for x
    x = 31,114,290.50/7,839.88
  6. Step 6: Final answer
    x = 3,968.72

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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.