Home / 7,834.35-11,750.36-2,286.20

Finding the Fourth Proportional to 7,834.35, 11,750.36 and 2,286.20

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Solution

The fourth proportional to 7,834.35, 11,750.36 and 2,286.20 is: 3,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.35 : 11,750.36 = 2,286.20 : x
  2. Step 2: Convert to fraction form
    7,834.35/11,750.36 = 2,286.20/x
  3. Step 3: Cross multiply
    7,834.35x = 11,750.36 × 2,286.20
  4. Step 4: Simplify right side
    7,834.35x = 26,863,712.41
  5. Step 5: Solve for x
    x = 26,863,712.41/7,834.35
  6. Step 6: Final answer
    x = 3,428.97

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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.