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Finding the Fourth Proportional to 8,680.97, 13,020.24 and 3,412.23

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Solution

The fourth proportional to 8,680.97, 13,020.24 and 3,412.23 is: 5,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,680.97 : 13,020.24 = 3,412.23 : x
  2. Step 2: Convert to fraction form
    8,680.97/13,020.24 = 3,412.23/x
  3. Step 3: Cross multiply
    8,680.97x = 13,020.24 × 3,412.23
  4. Step 4: Simplify right side
    8,680.97x = 44,428,017.51
  5. Step 5: Solve for x
    x = 44,428,017.51/8,680.97
  6. Step 6: Final answer
    x = 5,117.86

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