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Finding the Fourth Proportional to 10,634.61, 15,936.80 and 7,839.30

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Solution

The fourth proportional to 10,634.61, 15,936.80 and 7,839.30 is: 11,747.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.61 : 15,936.80 = 7,839.30 : x
  2. Step 2: Convert to fraction form
    10,634.61/15,936.80 = 7,839.30/x
  3. Step 3: Cross multiply
    10,634.61x = 15,936.80 × 7,839.30
  4. Step 4: Simplify right side
    10,634.61x = 124,933,317.04
  5. Step 5: Solve for x
    x = 124,933,317.04/10,634.61
  6. Step 6: Final answer
    x = 11,747.80

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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.