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Finding the Fourth Proportional to 7,832.03, 11,748.51 and 3,151.31

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Solution

The fourth proportional to 7,832.03, 11,748.51 and 3,151.31 is: 4,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.03 : 11,748.51 = 3,151.31 : x
  2. Step 2: Convert to fraction form
    7,832.03/11,748.51 = 3,151.31/x
  3. Step 3: Cross multiply
    7,832.03x = 11,748.51 × 3,151.31
  4. Step 4: Simplify right side
    7,832.03x = 37,023,138.31
  5. Step 5: Solve for x
    x = 37,023,138.31/7,832.03
  6. Step 6: Final answer
    x = 4,727.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.