Home / 7,832.74-11,748.42-2,286.10

Finding the Fourth Proportional to 7,832.74, 11,748.42 and 2,286.10

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Solution

The fourth proportional to 7,832.74, 11,748.42 and 2,286.10 is: 3,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.74 : 11,748.42 = 2,286.10 : x
  2. Step 2: Convert to fraction form
    7,832.74/11,748.42 = 2,286.10/x
  3. Step 3: Cross multiply
    7,832.74x = 11,748.42 × 2,286.10
  4. Step 4: Simplify right side
    7,832.74x = 26,858,062.96
  5. Step 5: Solve for x
    x = 26,858,062.96/7,832.74
  6. Step 6: Final answer
    x = 3,428.95

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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.