Home / 7,820.24-11,727.52-2,272.10

Finding the Fourth Proportional to 7,820.24, 11,727.52 and 2,272.10

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Solution

The fourth proportional to 7,820.24, 11,727.52 and 2,272.10 is: 3,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.24 : 11,727.52 = 2,272.10 : x
  2. Step 2: Convert to fraction form
    7,820.24/11,727.52 = 2,272.10/x
  3. Step 3: Cross multiply
    7,820.24x = 11,727.52 × 2,272.10
  4. Step 4: Simplify right side
    7,820.24x = 26,646,033.87
  5. Step 5: Solve for x
    x = 26,646,033.87/7,820.24
  6. Step 6: Final answer
    x = 3,407.32

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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.