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Finding the Fourth Proportional to 8,257.12, 12,446.77 and 8,140.48

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Solution

The fourth proportional to 8,257.12, 12,446.77 and 8,140.48 is: 12,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.12 : 12,446.77 = 8,140.48 : x
  2. Step 2: Convert to fraction form
    8,257.12/12,446.77 = 8,140.48/x
  3. Step 3: Cross multiply
    8,257.12x = 12,446.77 × 8,140.48
  4. Step 4: Simplify right side
    8,257.12x = 101,322,682.25
  5. Step 5: Solve for x
    x = 101,322,682.25/8,257.12
  6. Step 6: Final answer
    x = 12,270.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.