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Finding the Fourth Proportional to 8,230.38, 11,359.12 and 5,401.98

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Solution

The fourth proportional to 8,230.38, 11,359.12 and 5,401.98 is: 7,455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.38 : 11,359.12 = 5,401.98 : x
  2. Step 2: Convert to fraction form
    8,230.38/11,359.12 = 5,401.98/x
  3. Step 3: Cross multiply
    8,230.38x = 11,359.12 × 5,401.98
  4. Step 4: Simplify right side
    8,230.38x = 61,361,663.83
  5. Step 5: Solve for x
    x = 61,361,663.83/8,230.38
  6. Step 6: Final answer
    x = 7,455.51

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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.