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Finding the Fourth Proportional to 8,020.50, 12,032.71 and 5,653.20

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Solution

The fourth proportional to 8,020.50, 12,032.71 and 5,653.20 is: 8,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.50 : 12,032.71 = 5,653.20 : x
  2. Step 2: Convert to fraction form
    8,020.50/12,032.71 = 5,653.20/x
  3. Step 3: Cross multiply
    8,020.50x = 12,032.71 × 5,653.20
  4. Step 4: Simplify right side
    8,020.50x = 68,023,227.74
  5. Step 5: Solve for x
    x = 68,023,227.74/8,020.50
  6. Step 6: Final answer
    x = 8,481.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.