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Finding the Fourth Proportional to 8,277.15, 12,418.56 and 3,894.84

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Solution

The fourth proportional to 8,277.15, 12,418.56 and 3,894.84 is: 5,843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.15 : 12,418.56 = 3,894.84 : x
  2. Step 2: Convert to fraction form
    8,277.15/12,418.56 = 3,894.84/x
  3. Step 3: Cross multiply
    8,277.15x = 12,418.56 × 3,894.84
  4. Step 4: Simplify right side
    8,277.15x = 48,368,304.23
  5. Step 5: Solve for x
    x = 48,368,304.23/8,277.15
  6. Step 6: Final answer
    x = 5,843.59

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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.