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Finding the Fourth Proportional to 10,839, 14,957.82 and 5,871

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Solution

The fourth proportional to 10,839, 14,957.82 and 5,871 is: 8,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,839 : 14,957.82 = 5,871 : x
  2. Step 2: Convert to fraction form
    10,839/14,957.82 = 5,871/x
  3. Step 3: Cross multiply
    10,839x = 14,957.82 × 5,871
  4. Step 4: Simplify right side
    10,839x = 87,817,361.22
  5. Step 5: Solve for x
    x = 87,817,361.22/10,839
  6. Step 6: Final answer
    x = 8,101.98

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Why These Related Problems?

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