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Finding the Fourth Proportional to 8,323.20, 11,499.52 and 8,241.28

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Solution

The fourth proportional to 8,323.20, 11,499.52 and 8,241.28 is: 11,386.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.20 : 11,499.52 = 8,241.28 : x
  2. Step 2: Convert to fraction form
    8,323.20/11,499.52 = 8,241.28/x
  3. Step 3: Cross multiply
    8,323.20x = 11,499.52 × 8,241.28
  4. Step 4: Simplify right side
    8,323.20x = 94,770,764.19
  5. Step 5: Solve for x
    x = 94,770,764.19/8,323.20
  6. Step 6: Final answer
    x = 11,386.34

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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.