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Finding the Fourth Proportional to 7,757.48, 11,635.25 and 2,492.07

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Solution

The fourth proportional to 7,757.48, 11,635.25 and 2,492.07 is: 3,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.48 : 11,635.25 = 2,492.07 : x
  2. Step 2: Convert to fraction form
    7,757.48/11,635.25 = 2,492.07/x
  3. Step 3: Cross multiply
    7,757.48x = 11,635.25 × 2,492.07
  4. Step 4: Simplify right side
    7,757.48x = 28,995,857.47
  5. Step 5: Solve for x
    x = 28,995,857.47/7,757.48
  6. Step 6: Final answer
    x = 3,737.79

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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.