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Finding the Fourth Proportional to 8,932.57, 13,401.47 and 4,001.11

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Solution

The fourth proportional to 8,932.57, 13,401.47 and 4,001.11 is: 6,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.57 : 13,401.47 = 4,001.11 : x
  2. Step 2: Convert to fraction form
    8,932.57/13,401.47 = 4,001.11/x
  3. Step 3: Cross multiply
    8,932.57x = 13,401.47 × 4,001.11
  4. Step 4: Simplify right side
    8,932.57x = 53,620,755.63
  5. Step 5: Solve for x
    x = 53,620,755.63/8,932.57
  6. Step 6: Final answer
    x = 6,002.84

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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.