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Finding the Fourth Proportional to 7,544.78, 11,308.96 and 3,157.11

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Solution

The fourth proportional to 7,544.78, 11,308.96 and 3,157.11 is: 4,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544.78 : 11,308.96 = 3,157.11 : x
  2. Step 2: Convert to fraction form
    7,544.78/11,308.96 = 3,157.11/x
  3. Step 3: Cross multiply
    7,544.78x = 11,308.96 × 3,157.11
  4. Step 4: Simplify right side
    7,544.78x = 35,703,634.65
  5. Step 5: Solve for x
    x = 35,703,634.65/7,544.78
  6. Step 6: Final answer
    x = 4,732.23

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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.