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Finding the Fourth Proportional to 7,947.65, 10,967.71 and 4,410.85

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Solution

The fourth proportional to 7,947.65, 10,967.71 and 4,410.85 is: 6,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.65 : 10,967.71 = 4,410.85 : x
  2. Step 2: Convert to fraction form
    7,947.65/10,967.71 = 4,410.85/x
  3. Step 3: Cross multiply
    7,947.65x = 10,967.71 × 4,410.85
  4. Step 4: Simplify right side
    7,947.65x = 48,376,923.65
  5. Step 5: Solve for x
    x = 48,376,923.65/7,947.65
  6. Step 6: Final answer
    x = 6,086.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.