Home / 7,822.10-11,731.10-2,273.96

Finding the Fourth Proportional to 7,822.10, 11,731.10 and 2,273.96

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Solution

The fourth proportional to 7,822.10, 11,731.10 and 2,273.96 is: 3,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.10 : 11,731.10 = 2,273.96 : x
  2. Step 2: Convert to fraction form
    7,822.10/11,731.10 = 2,273.96/x
  3. Step 3: Cross multiply
    7,822.10x = 11,731.10 × 2,273.96
  4. Step 4: Simplify right side
    7,822.10x = 26,676,052.16
  5. Step 5: Solve for x
    x = 26,676,052.16/7,822.10
  6. Step 6: Final answer
    x = 3,410.34

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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.