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Finding the Fourth Proportional to 6,886.46, 10,329.67 and 1,956.15

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Solution

The fourth proportional to 6,886.46, 10,329.67 and 1,956.15 is: 2,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.46 : 10,329.67 = 1,956.15 : x
  2. Step 2: Convert to fraction form
    6,886.46/10,329.67 = 1,956.15/x
  3. Step 3: Cross multiply
    6,886.46x = 10,329.67 × 1,956.15
  4. Step 4: Simplify right side
    6,886.46x = 20,206,383.97
  5. Step 5: Solve for x
    x = 20,206,383.97/6,886.46
  6. Step 6: Final answer
    x = 2,934.22

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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.