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Finding the Fourth Proportional to 8,324.32, 11,486.40 and 8,100.32

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Solution

The fourth proportional to 8,324.32, 11,486.40 and 8,100.32 is: 11,177.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.32 : 11,486.40 = 8,100.32 : x
  2. Step 2: Convert to fraction form
    8,324.32/11,486.40 = 8,100.32/x
  3. Step 3: Cross multiply
    8,324.32x = 11,486.40 × 8,100.32
  4. Step 4: Simplify right side
    8,324.32x = 93,043,515.65
  5. Step 5: Solve for x
    x = 93,043,515.65/8,324.32
  6. Step 6: Final answer
    x = 11,177.31

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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.