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Finding the Fourth Proportional to 7,687.91, 11,533.48 and 2,493.38

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Solution

The fourth proportional to 7,687.91, 11,533.48 and 2,493.38 is: 3,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.91 : 11,533.48 = 2,493.38 : x
  2. Step 2: Convert to fraction form
    7,687.91/11,533.48 = 2,493.38/x
  3. Step 3: Cross multiply
    7,687.91x = 11,533.48 × 2,493.38
  4. Step 4: Simplify right side
    7,687.91x = 28,757,284.46
  5. Step 5: Solve for x
    x = 28,757,284.46/7,687.91
  6. Step 6: Final answer
    x = 3,740.59

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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.