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Finding the Fourth Proportional to 8,226.12, 11,352.06 and 4,871.64

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Solution

The fourth proportional to 8,226.12, 11,352.06 and 4,871.64 is: 6,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.12 : 11,352.06 = 4,871.64 : x
  2. Step 2: Convert to fraction form
    8,226.12/11,352.06 = 4,871.64/x
  3. Step 3: Cross multiply
    8,226.12x = 11,352.06 × 4,871.64
  4. Step 4: Simplify right side
    8,226.12x = 55,303,149.58
  5. Step 5: Solve for x
    x = 55,303,149.58/8,226.12
  6. Step 6: Final answer
    x = 6,722.87

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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.