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Finding the Fourth Proportional to 8,021.67, 12,032.97 and 3,091.32

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Solution

The fourth proportional to 8,021.67, 12,032.97 and 3,091.32 is: 4,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.67 : 12,032.97 = 3,091.32 : x
  2. Step 2: Convert to fraction form
    8,021.67/12,032.97 = 3,091.32/x
  3. Step 3: Cross multiply
    8,021.67x = 12,032.97 × 3,091.32
  4. Step 4: Simplify right side
    8,021.67x = 37,197,760.82
  5. Step 5: Solve for x
    x = 37,197,760.82/8,021.67
  6. Step 6: Final answer
    x = 4,637.16

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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.