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Finding the Fourth Proportional to 7,736.67, 11,601.18 and 5,514.30

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Solution

The fourth proportional to 7,736.67, 11,601.18 and 5,514.30 is: 8,268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,736.67 : 11,601.18 = 5,514.30 : x
  2. Step 2: Convert to fraction form
    7,736.67/11,601.18 = 5,514.30/x
  3. Step 3: Cross multiply
    7,736.67x = 11,601.18 × 5,514.30
  4. Step 4: Simplify right side
    7,736.67x = 63,972,386.87
  5. Step 5: Solve for x
    x = 63,972,386.87/7,736.67
  6. Step 6: Final answer
    x = 8,268.72

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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.