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Finding the Fourth Proportional to 8,220.15, 11,340.31 and 5,032.24

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Solution

The fourth proportional to 8,220.15, 11,340.31 and 5,032.24 is: 6,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.15 : 11,340.31 = 5,032.24 : x
  2. Step 2: Convert to fraction form
    8,220.15/11,340.31 = 5,032.24/x
  3. Step 3: Cross multiply
    8,220.15x = 11,340.31 × 5,032.24
  4. Step 4: Simplify right side
    8,220.15x = 57,067,161.59
  5. Step 5: Solve for x
    x = 57,067,161.59/8,220.15
  6. Step 6: Final answer
    x = 6,942.35

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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.