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Finding the Fourth Proportional to 10,272, 14,177.28 and 5,856

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Solution

The fourth proportional to 10,272, 14,177.28 and 5,856 is: 8,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272 : 14,177.28 = 5,856 : x
  2. Step 2: Convert to fraction form
    10,272/14,177.28 = 5,856/x
  3. Step 3: Cross multiply
    10,272x = 14,177.28 × 5,856
  4. Step 4: Simplify right side
    10,272x = 83,022,151.68
  5. Step 5: Solve for x
    x = 83,022,151.68/10,272
  6. Step 6: Final answer
    x = 8,082.37

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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.