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Finding the Fourth Proportional to 8,383.24, 12,574.86 and 2,540.44

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Solution

The fourth proportional to 8,383.24, 12,574.86 and 2,540.44 is: 3,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.24 : 12,574.86 = 2,540.44 : x
  2. Step 2: Convert to fraction form
    8,383.24/12,574.86 = 2,540.44/x
  3. Step 3: Cross multiply
    8,383.24x = 12,574.86 × 2,540.44
  4. Step 4: Simplify right side
    8,383.24x = 31,945,677.34
  5. Step 5: Solve for x
    x = 31,945,677.34/8,383.24
  6. Step 6: Final answer
    x = 3,810.66

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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.