Home / 10,022.44-13,834.38-5,834.20

Finding the Fourth Proportional to 10,022.44, 13,834.38 and 5,834.20

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Solution

The fourth proportional to 10,022.44, 13,834.38 and 5,834.20 is: 8,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.44 : 13,834.38 = 5,834.20 : x
  2. Step 2: Convert to fraction form
    10,022.44/13,834.38 = 5,834.20/x
  3. Step 3: Cross multiply
    10,022.44x = 13,834.38 × 5,834.20
  4. Step 4: Simplify right side
    10,022.44x = 80,712,539.80
  5. Step 5: Solve for x
    x = 80,712,539.80/10,022.44
  6. Step 6: Final answer
    x = 8,053.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.