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Finding the Fourth Proportional to 8,278.41, 11,424.20 and 4,552.41

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Solution

The fourth proportional to 8,278.41, 11,424.20 and 4,552.41 is: 6,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.41 : 11,424.20 = 4,552.41 : x
  2. Step 2: Convert to fraction form
    8,278.41/11,424.20 = 4,552.41/x
  3. Step 3: Cross multiply
    8,278.41x = 11,424.20 × 4,552.41
  4. Step 4: Simplify right side
    8,278.41x = 52,007,642.32
  5. Step 5: Solve for x
    x = 52,007,642.32/8,278.41
  6. Step 6: Final answer
    x = 6,282.32

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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.