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Finding the Fourth Proportional to 11,753.62, 17,630.48 and 3,962.50

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Solution

The fourth proportional to 11,753.62, 17,630.48 and 3,962.50 is: 5,943.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.62 : 17,630.48 = 3,962.50 : x
  2. Step 2: Convert to fraction form
    11,753.62/17,630.48 = 3,962.50/x
  3. Step 3: Cross multiply
    11,753.62x = 17,630.48 × 3,962.50
  4. Step 4: Simplify right side
    11,753.62x = 69,860,698.75
  5. Step 5: Solve for x
    x = 69,860,698.75/11,753.62
  6. Step 6: Final answer
    x = 5,943.76

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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.