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Finding the Fourth Proportional to 8,272.32, 12,394.02 and 6,894.51

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Solution

The fourth proportional to 8,272.32, 12,394.02 and 6,894.51 is: 10,329.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.32 : 12,394.02 = 6,894.51 : x
  2. Step 2: Convert to fraction form
    8,272.32/12,394.02 = 6,894.51/x
  3. Step 3: Cross multiply
    8,272.32x = 12,394.02 × 6,894.51
  4. Step 4: Simplify right side
    8,272.32x = 85,450,694.83
  5. Step 5: Solve for x
    x = 85,450,694.83/8,272.32
  6. Step 6: Final answer
    x = 10,329.71

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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.