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Finding the Fourth Proportional to 10,714.41, 16,082.01 and 5,171.66

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Solution

The fourth proportional to 10,714.41, 16,082.01 and 5,171.66 is: 7,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.41 : 16,082.01 = 5,171.66 : x
  2. Step 2: Convert to fraction form
    10,714.41/16,082.01 = 5,171.66/x
  3. Step 3: Cross multiply
    10,714.41x = 16,082.01 × 5,171.66
  4. Step 4: Simplify right side
    10,714.41x = 83,170,581.57
  5. Step 5: Solve for x
    x = 83,170,581.57/10,714.41
  6. Step 6: Final answer
    x = 7,762.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.