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Finding the Fourth Proportional to 10,871, 15,002 and 5,903

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Solution

The fourth proportional to 10,871, 15,002 and 5,903 is: 8,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871 : 15,002 = 5,903 : x
  2. Step 2: Convert to fraction form
    10,871/15,002 = 5,903/x
  3. Step 3: Cross multiply
    10,871x = 15,002 × 5,903
  4. Step 4: Simplify right side
    10,871x = 88,556,806
  5. Step 5: Solve for x
    x = 88,556,806/10,871
  6. Step 6: Final answer
    x = 8,146.15

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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.