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Finding the Fourth Proportional to 8,226.42, 11,352.41 and 4,449.58

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Solution

The fourth proportional to 8,226.42, 11,352.41 and 4,449.58 is: 6,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.42 : 11,352.41 = 4,449.58 : x
  2. Step 2: Convert to fraction form
    8,226.42/11,352.41 = 4,449.58/x
  3. Step 3: Cross multiply
    8,226.42x = 11,352.41 × 4,449.58
  4. Step 4: Simplify right side
    8,226.42x = 50,513,468.86
  5. Step 5: Solve for x
    x = 50,513,468.86/8,226.42
  6. Step 6: Final answer
    x = 6,140.40

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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.