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Finding the Fourth Proportional to 7,602.88, 11,404.24 and 2,408.75

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Solution

The fourth proportional to 7,602.88, 11,404.24 and 2,408.75 is: 3,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.88 : 11,404.24 = 2,408.75 : x
  2. Step 2: Convert to fraction form
    7,602.88/11,404.24 = 2,408.75/x
  3. Step 3: Cross multiply
    7,602.88x = 11,404.24 × 2,408.75
  4. Step 4: Simplify right side
    7,602.88x = 27,469,963.10
  5. Step 5: Solve for x
    x = 27,469,963.10/7,602.88
  6. Step 6: Final answer
    x = 3,613.10

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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.