Home / 7,825.92-11,738.86-1,982.51

Finding the Fourth Proportional to 7,825.92, 11,738.86 and 1,982.51

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Solution

The fourth proportional to 7,825.92, 11,738.86 and 1,982.51 is: 2,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.92 : 11,738.86 = 1,982.51 : x
  2. Step 2: Convert to fraction form
    7,825.92/11,738.86 = 1,982.51/x
  3. Step 3: Cross multiply
    7,825.92x = 11,738.86 × 1,982.51
  4. Step 4: Simplify right side
    7,825.92x = 23,272,387.71
  5. Step 5: Solve for x
    x = 23,272,387.71/7,825.92
  6. Step 6: Final answer
    x = 2,973.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.