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Finding the Fourth Proportional to 6,204.78, 8,562.51 and 4,112.82

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Solution

The fourth proportional to 6,204.78, 8,562.51 and 4,112.82 is: 5,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.78 : 8,562.51 = 4,112.82 : x
  2. Step 2: Convert to fraction form
    6,204.78/8,562.51 = 4,112.82/x
  3. Step 3: Cross multiply
    6,204.78x = 8,562.51 × 4,112.82
  4. Step 4: Simplify right side
    6,204.78x = 35,216,062.38
  5. Step 5: Solve for x
    x = 35,216,062.38/6,204.78
  6. Step 6: Final answer
    x = 5,675.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.