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Finding the Fourth Proportional to 8,008, 12,012.16 and 2,165.12

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Solution

The fourth proportional to 8,008, 12,012.16 and 2,165.12 is: 3,247.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008 : 12,012.16 = 2,165.12 : x
  2. Step 2: Convert to fraction form
    8,008/12,012.16 = 2,165.12/x
  3. Step 3: Cross multiply
    8,008x = 12,012.16 × 2,165.12
  4. Step 4: Simplify right side
    8,008x = 26,007,767.86
  5. Step 5: Solve for x
    x = 26,007,767.86/8,008
  6. Step 6: Final answer
    x = 3,247.72

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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.