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Finding the Fourth Proportional to 8,111.57, 12,167.09 and 3,430.30

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Solution

The fourth proportional to 8,111.57, 12,167.09 and 3,430.30 is: 5,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.57 : 12,167.09 = 3,430.30 : x
  2. Step 2: Convert to fraction form
    8,111.57/12,167.09 = 3,430.30/x
  3. Step 3: Cross multiply
    8,111.57x = 12,167.09 × 3,430.30
  4. Step 4: Simplify right side
    8,111.57x = 41,736,747.29
  5. Step 5: Solve for x
    x = 41,736,747.29/8,111.57
  6. Step 6: Final answer
    x = 5,145.34

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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.