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Finding the Fourth Proportional to 8,003.72, 12,005.80 and 2,160.32

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Solution

The fourth proportional to 8,003.72, 12,005.80 and 2,160.32 is: 3,240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.72 : 12,005.80 = 2,160.32 : x
  2. Step 2: Convert to fraction form
    8,003.72/12,005.80 = 2,160.32/x
  3. Step 3: Cross multiply
    8,003.72x = 12,005.80 × 2,160.32
  4. Step 4: Simplify right side
    8,003.72x = 25,936,369.86
  5. Step 5: Solve for x
    x = 25,936,369.86/8,003.72
  6. Step 6: Final answer
    x = 3,240.54

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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.