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Finding the Fourth Proportional to 11,367.12, 15,686.63 and 6,332.31

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Solution

The fourth proportional to 11,367.12, 15,686.63 and 6,332.31 is: 8,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,367.12 : 15,686.63 = 6,332.31 : x
  2. Step 2: Convert to fraction form
    11,367.12/15,686.63 = 6,332.31/x
  3. Step 3: Cross multiply
    11,367.12x = 15,686.63 × 6,332.31
  4. Step 4: Simplify right side
    11,367.12x = 99,332,604.02
  5. Step 5: Solve for x
    x = 99,332,604.02/11,367.12
  6. Step 6: Final answer
    x = 8,738.59

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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.