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Finding the Fourth Proportional to 10,754.84, 14,839.81 and 5,974.02

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Solution

The fourth proportional to 10,754.84, 14,839.81 and 5,974.02 is: 8,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.84 : 14,839.81 = 5,974.02 : x
  2. Step 2: Convert to fraction form
    10,754.84/14,839.81 = 5,974.02/x
  3. Step 3: Cross multiply
    10,754.84x = 14,839.81 × 5,974.02
  4. Step 4: Simplify right side
    10,754.84x = 88,653,306.80
  5. Step 5: Solve for x
    x = 88,653,306.80/10,754.84
  6. Step 6: Final answer
    x = 8,243.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.