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Finding the Fourth Proportional to 8,252.80, 11,385.14 and 5,740.96

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Solution

The fourth proportional to 8,252.80, 11,385.14 and 5,740.96 is: 7,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.80 : 11,385.14 = 5,740.96 : x
  2. Step 2: Convert to fraction form
    8,252.80/11,385.14 = 5,740.96/x
  3. Step 3: Cross multiply
    8,252.80x = 11,385.14 × 5,740.96
  4. Step 4: Simplify right side
    8,252.80x = 65,361,633.33
  5. Step 5: Solve for x
    x = 65,361,633.33/8,252.80
  6. Step 6: Final answer
    x = 7,919.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.