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Finding the Fourth Proportional to 8,208.80, 12,314.29 and 3,765.41

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Solution

The fourth proportional to 8,208.80, 12,314.29 and 3,765.41 is: 5,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.80 : 12,314.29 = 3,765.41 : x
  2. Step 2: Convert to fraction form
    8,208.80/12,314.29 = 3,765.41/x
  3. Step 3: Cross multiply
    8,208.80x = 12,314.29 × 3,765.41
  4. Step 4: Simplify right side
    8,208.80x = 46,368,350.71
  5. Step 5: Solve for x
    x = 46,368,350.71/8,208.80
  6. Step 6: Final answer
    x = 5,648.61

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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.