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Finding the Fourth Proportional to 7,180.52, 10,774.22 and 3,717.77

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Solution

The fourth proportional to 7,180.52, 10,774.22 and 3,717.77 is: 5,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.52 : 10,774.22 = 3,717.77 : x
  2. Step 2: Convert to fraction form
    7,180.52/10,774.22 = 3,717.77/x
  3. Step 3: Cross multiply
    7,180.52x = 10,774.22 × 3,717.77
  4. Step 4: Simplify right side
    7,180.52x = 40,055,999.43
  5. Step 5: Solve for x
    x = 40,055,999.43/7,180.52
  6. Step 6: Final answer
    x = 5,578.43

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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.