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Finding the Fourth Proportional to 6,839.70, 10,259.18 and 1,909.23

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Solution

The fourth proportional to 6,839.70, 10,259.18 and 1,909.23 is: 2,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.70 : 10,259.18 = 1,909.23 : x
  2. Step 2: Convert to fraction form
    6,839.70/10,259.18 = 1,909.23/x
  3. Step 3: Cross multiply
    6,839.70x = 10,259.18 × 1,909.23
  4. Step 4: Simplify right side
    6,839.70x = 19,587,134.23
  5. Step 5: Solve for x
    x = 19,587,134.23/6,839.70
  6. Step 6: Final answer
    x = 2,863.74

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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.