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Finding the Fourth Proportional to 7,839.59, 11,759.39 and 2,645.47

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Solution

The fourth proportional to 7,839.59, 11,759.39 and 2,645.47 is: 3,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.59 : 11,759.39 = 2,645.47 : x
  2. Step 2: Convert to fraction form
    7,839.59/11,759.39 = 2,645.47/x
  3. Step 3: Cross multiply
    7,839.59x = 11,759.39 × 2,645.47
  4. Step 4: Simplify right side
    7,839.59x = 31,109,113.46
  5. Step 5: Solve for x
    x = 31,109,113.46/7,839.59
  6. Step 6: Final answer
    x = 3,968.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.