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Finding the Fourth Proportional to 7,794.40, 11,687.28 and 6,872.08

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Solution

The fourth proportional to 7,794.40, 11,687.28 and 6,872.08 is: 10,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.40 : 11,687.28 = 6,872.08 : x
  2. Step 2: Convert to fraction form
    7,794.40/11,687.28 = 6,872.08/x
  3. Step 3: Cross multiply
    7,794.40x = 11,687.28 × 6,872.08
  4. Step 4: Simplify right side
    7,794.40x = 80,315,923.14
  5. Step 5: Solve for x
    x = 80,315,923.14/7,794.40
  6. Step 6: Final answer
    x = 10,304.31

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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.