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Finding the Fourth Proportional to 7,678.80, 11,517.99 and 6,218.88

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Solution

The fourth proportional to 7,678.80, 11,517.99 and 6,218.88 is: 9,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.80 : 11,517.99 = 6,218.88 : x
  2. Step 2: Convert to fraction form
    7,678.80/11,517.99 = 6,218.88/x
  3. Step 3: Cross multiply
    7,678.80x = 11,517.99 × 6,218.88
  4. Step 4: Simplify right side
    7,678.80x = 71,628,997.65
  5. Step 5: Solve for x
    x = 71,628,997.65/7,678.80
  6. Step 6: Final answer
    x = 9,328.15

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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.