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Finding the Fourth Proportional to 10,002.70, 13,771.38 and 8,231.14

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Solution

The fourth proportional to 10,002.70, 13,771.38 and 8,231.14 is: 11,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.70 : 13,771.38 = 8,231.14 : x
  2. Step 2: Convert to fraction form
    10,002.70/13,771.38 = 8,231.14/x
  3. Step 3: Cross multiply
    10,002.70x = 13,771.38 × 8,231.14
  4. Step 4: Simplify right side
    10,002.70x = 113,354,156.77
  5. Step 5: Solve for x
    x = 113,354,156.77/10,002.70
  6. Step 6: Final answer
    x = 11,332.36

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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.