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Finding the Fourth Proportional to 8,022, 12,032.64 and 3,340.08

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Solution

The fourth proportional to 8,022, 12,032.64 and 3,340.08 is: 5,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022 : 12,032.64 = 3,340.08 : x
  2. Step 2: Convert to fraction form
    8,022/12,032.64 = 3,340.08/x
  3. Step 3: Cross multiply
    8,022x = 12,032.64 × 3,340.08
  4. Step 4: Simplify right side
    8,022x = 40,189,980.21
  5. Step 5: Solve for x
    x = 40,189,980.21/8,022
  6. Step 6: Final answer
    x = 5,009.97

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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.