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Finding the Fourth Proportional to 7,832.52, 11,753.37 and 3,151.80

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Solution

The fourth proportional to 7,832.52, 11,753.37 and 3,151.80 is: 4,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 11,753.37 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    7,832.52/11,753.37 = 3,151.80/x
  3. Step 3: Cross multiply
    7,832.52x = 11,753.37 × 3,151.80
  4. Step 4: Simplify right side
    7,832.52x = 37,044,271.57
  5. Step 5: Solve for x
    x = 37,044,271.57/7,832.52
  6. Step 6: Final answer
    x = 4,729.55

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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.