Home / 7,826.16-11,738.20-2,828.02

Finding the Fourth Proportional to 7,826.16, 11,738.20 and 2,828.02

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Solution

The fourth proportional to 7,826.16, 11,738.20 and 2,828.02 is: 4,241.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.16 : 11,738.20 = 2,828.02 : x
  2. Step 2: Convert to fraction form
    7,826.16/11,738.20 = 2,828.02/x
  3. Step 3: Cross multiply
    7,826.16x = 11,738.20 × 2,828.02
  4. Step 4: Simplify right side
    7,826.16x = 33,195,864.36
  5. Step 5: Solve for x
    x = 33,195,864.36/7,826.16
  6. Step 6: Final answer
    x = 4,241.65

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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.