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Finding the Fourth Proportional to 11,599.48, 17,391.64 and 7,638.75

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Solution

The fourth proportional to 11,599.48, 17,391.64 and 7,638.75 is: 11,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.48 : 17,391.64 = 7,638.75 : x
  2. Step 2: Convert to fraction form
    11,599.48/17,391.64 = 7,638.75/x
  3. Step 3: Cross multiply
    11,599.48x = 17,391.64 × 7,638.75
  4. Step 4: Simplify right side
    11,599.48x = 132,850,390.05
  5. Step 5: Solve for x
    x = 132,850,390.05/11,599.48
  6. Step 6: Final answer
    x = 11,453.13

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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.