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Finding the Fourth Proportional to 6,820.78, 10,231.22 and 2,203.78

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Solution

The fourth proportional to 6,820.78, 10,231.22 and 2,203.78 is: 3,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.78 : 10,231.22 = 2,203.78 : x
  2. Step 2: Convert to fraction form
    6,820.78/10,231.22 = 2,203.78/x
  3. Step 3: Cross multiply
    6,820.78x = 10,231.22 × 2,203.78
  4. Step 4: Simplify right side
    6,820.78x = 22,547,358.01
  5. Step 5: Solve for x
    x = 22,547,358.01/6,820.78
  6. Step 6: Final answer
    x = 3,305.69

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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.