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Finding the Fourth Proportional to 8,109.75, 12,166.52 and 3,430.17

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Solution

The fourth proportional to 8,109.75, 12,166.52 and 3,430.17 is: 5,146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.75 : 12,166.52 = 3,430.17 : x
  2. Step 2: Convert to fraction form
    8,109.75/12,166.52 = 3,430.17/x
  3. Step 3: Cross multiply
    8,109.75x = 12,166.52 × 3,430.17
  4. Step 4: Simplify right side
    8,109.75x = 41,733,231.91
  5. Step 5: Solve for x
    x = 41,733,231.91/8,109.75
  6. Step 6: Final answer
    x = 5,146.06

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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.