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Finding the Fourth Proportional to 8,020.92, 12,032.25 and 2,097.90

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Solution

The fourth proportional to 8,020.92, 12,032.25 and 2,097.90 is: 3,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.92 : 12,032.25 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    8,020.92/12,032.25 = 2,097.90/x
  3. Step 3: Cross multiply
    8,020.92x = 12,032.25 × 2,097.90
  4. Step 4: Simplify right side
    8,020.92x = 25,242,449.41
  5. Step 5: Solve for x
    x = 25,242,449.41/8,020.92
  6. Step 6: Final answer
    x = 3,147.08

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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.