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Finding the Fourth Proportional to 7,687.78, 11,533.29 and 2,493.25

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Solution

The fourth proportional to 7,687.78, 11,533.29 and 2,493.25 is: 3,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.78 : 11,533.29 = 2,493.25 : x
  2. Step 2: Convert to fraction form
    7,687.78/11,533.29 = 2,493.25/x
  3. Step 3: Cross multiply
    7,687.78x = 11,533.29 × 2,493.25
  4. Step 4: Simplify right side
    7,687.78x = 28,755,375.29
  5. Step 5: Solve for x
    x = 28,755,375.29/7,687.78
  6. Step 6: Final answer
    x = 3,740.40

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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.