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Finding the Fourth Proportional to 7,679.24, 11,518.56 and 2,207.24

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Solution

The fourth proportional to 7,679.24, 11,518.56 and 2,207.24 is: 3,310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679.24 : 11,518.56 = 2,207.24 : x
  2. Step 2: Convert to fraction form
    7,679.24/11,518.56 = 2,207.24/x
  3. Step 3: Cross multiply
    7,679.24x = 11,518.56 × 2,207.24
  4. Step 4: Simplify right side
    7,679.24x = 25,424,226.37
  5. Step 5: Solve for x
    x = 25,424,226.37/7,679.24
  6. Step 6: Final answer
    x = 3,310.77

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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.