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Finding the Fourth Proportional to 10,839.84, 14,958.88 and 5,871.84

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Solution

The fourth proportional to 10,839.84, 14,958.88 and 5,871.84 is: 8,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839.84 : 14,958.88 = 5,871.84 : x
  2. Step 2: Convert to fraction form
    10,839.84/14,958.88 = 5,871.84/x
  3. Step 3: Cross multiply
    10,839.84x = 14,958.88 × 5,871.84
  4. Step 4: Simplify right side
    10,839.84x = 87,836,149.94
  5. Step 5: Solve for x
    x = 87,836,149.94/10,839.84
  6. Step 6: Final answer
    x = 8,103.09

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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.