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Finding the Fourth Proportional to 6,839.89, 10,259.84 and 5,282.17

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Solution

The fourth proportional to 6,839.89, 10,259.84 and 5,282.17 is: 7,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.89 : 10,259.84 = 5,282.17 : x
  2. Step 2: Convert to fraction form
    6,839.89/10,259.84 = 5,282.17/x
  3. Step 3: Cross multiply
    6,839.89x = 10,259.84 × 5,282.17
  4. Step 4: Simplify right side
    6,839.89x = 54,194,166.99
  5. Step 5: Solve for x
    x = 54,194,166.99/6,839.89
  6. Step 6: Final answer
    x = 7,923.25

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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.