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Finding the Fourth Proportional to 8,226.97, 11,352.69 and 4,642.48

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Solution

The fourth proportional to 8,226.97, 11,352.69 and 4,642.48 is: 6,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.97 : 11,352.69 = 4,642.48 : x
  2. Step 2: Convert to fraction form
    8,226.97/11,352.69 = 4,642.48/x
  3. Step 3: Cross multiply
    8,226.97x = 11,352.69 × 4,642.48
  4. Step 4: Simplify right side
    8,226.97x = 52,704,650.46
  5. Step 5: Solve for x
    x = 52,704,650.46/8,226.97
  6. Step 6: Final answer
    x = 6,406.33

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