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Finding the Fourth Proportional to 7,588.78, 11,375.72 and 3,638.91

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Solution

The fourth proportional to 7,588.78, 11,375.72 and 3,638.91 is: 5,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.78 : 11,375.72 = 3,638.91 : x
  2. Step 2: Convert to fraction form
    7,588.78/11,375.72 = 3,638.91/x
  3. Step 3: Cross multiply
    7,588.78x = 11,375.72 × 3,638.91
  4. Step 4: Simplify right side
    7,588.78x = 41,395,221.27
  5. Step 5: Solve for x
    x = 41,395,221.27/7,588.78
  6. Step 6: Final answer
    x = 5,454.79

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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.