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Finding the Fourth Proportional to 10,839.52, 16,259.36 and 3,914

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Solution

The fourth proportional to 10,839.52, 16,259.36 and 3,914 is: 5,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.52 : 16,259.36 = 3,914 : x
  2. Step 2: Convert to fraction form
    10,839.52/16,259.36 = 3,914/x
  3. Step 3: Cross multiply
    10,839.52x = 16,259.36 × 3,914
  4. Step 4: Simplify right side
    10,839.52x = 63,639,135.04
  5. Step 5: Solve for x
    x = 63,639,135.04/10,839.52
  6. Step 6: Final answer
    x = 5,871.03

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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.