Home / 7,824-11,737.26-2,631.12

Finding the Fourth Proportional to 7,824, 11,737.26 and 2,631.12

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Solution

The fourth proportional to 7,824, 11,737.26 and 2,631.12 is: 3,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824 : 11,737.26 = 2,631.12 : x
  2. Step 2: Convert to fraction form
    7,824/11,737.26 = 2,631.12/x
  3. Step 3: Cross multiply
    7,824x = 11,737.26 × 2,631.12
  4. Step 4: Simplify right side
    7,824x = 30,882,139.53
  5. Step 5: Solve for x
    x = 30,882,139.53/7,824
  6. Step 6: Final answer
    x = 3,947.10

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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.