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Finding the Fourth Proportional to 7,662.68, 11,488.16 and 3,499.80

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Solution

The fourth proportional to 7,662.68, 11,488.16 and 3,499.80 is: 5,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.68 : 11,488.16 = 3,499.80 : x
  2. Step 2: Convert to fraction form
    7,662.68/11,488.16 = 3,499.80/x
  3. Step 3: Cross multiply
    7,662.68x = 11,488.16 × 3,499.80
  4. Step 4: Simplify right side
    7,662.68x = 40,206,262.37
  5. Step 5: Solve for x
    x = 40,206,262.37/7,662.68
  6. Step 6: Final answer
    x = 5,247.02

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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.