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Finding the Fourth Proportional to 11,532.88, 17,306.67 and 4,137.17

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Solution

The fourth proportional to 11,532.88, 17,306.67 and 4,137.17 is: 6,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.88 : 17,306.67 = 4,137.17 : x
  2. Step 2: Convert to fraction form
    11,532.88/17,306.67 = 4,137.17/x
  3. Step 3: Cross multiply
    11,532.88x = 17,306.67 × 4,137.17
  4. Step 4: Simplify right side
    11,532.88x = 71,600,635.92
  5. Step 5: Solve for x
    x = 71,600,635.92/11,532.88
  6. Step 6: Final answer
    x = 6,208.39

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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.