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Finding the Fourth Proportional to 8,230.25, 12,341.94 and 5,105.57

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Solution

The fourth proportional to 8,230.25, 12,341.94 and 5,105.57 is: 7,656.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.25 : 12,341.94 = 5,105.57 : x
  2. Step 2: Convert to fraction form
    8,230.25/12,341.94 = 5,105.57/x
  3. Step 3: Cross multiply
    8,230.25x = 12,341.94 × 5,105.57
  4. Step 4: Simplify right side
    8,230.25x = 63,012,576.90
  5. Step 5: Solve for x
    x = 63,012,576.90/8,230.25
  6. Step 6: Final answer
    x = 7,656.22

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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.