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Finding the Fourth Proportional to 8,226.91, 12,341.99 and 3,032.83

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Solution

The fourth proportional to 8,226.91, 12,341.99 and 3,032.83 is: 4,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.91 : 12,341.99 = 3,032.83 : x
  2. Step 2: Convert to fraction form
    8,226.91/12,341.99 = 3,032.83/x
  3. Step 3: Cross multiply
    8,226.91x = 12,341.99 × 3,032.83
  4. Step 4: Simplify right side
    8,226.91x = 37,431,157.53
  5. Step 5: Solve for x
    x = 37,431,157.53/8,226.91
  6. Step 6: Final answer
    x = 4,549.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.