Home / 7,825.52-11,738.30-1,982.13

Finding the Fourth Proportional to 7,825.52, 11,738.30 and 1,982.13

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Solution

The fourth proportional to 7,825.52, 11,738.30 and 1,982.13 is: 2,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.52 : 11,738.30 = 1,982.13 : x
  2. Step 2: Convert to fraction form
    7,825.52/11,738.30 = 1,982.13/x
  3. Step 3: Cross multiply
    7,825.52x = 11,738.30 × 1,982.13
  4. Step 4: Simplify right side
    7,825.52x = 23,266,836.58
  5. Step 5: Solve for x
    x = 23,266,836.58/7,825.52
  6. Step 6: Final answer
    x = 2,973.20

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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.