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Finding the Fourth Proportional to 8,102.12, 12,152.22 and 2,555.24

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Solution

The fourth proportional to 8,102.12, 12,152.22 and 2,555.24 is: 3,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.12 : 12,152.22 = 2,555.24 : x
  2. Step 2: Convert to fraction form
    8,102.12/12,152.22 = 2,555.24/x
  3. Step 3: Cross multiply
    8,102.12x = 12,152.22 × 2,555.24
  4. Step 4: Simplify right side
    8,102.12x = 31,051,838.63
  5. Step 5: Solve for x
    x = 31,051,838.63/8,102.12
  6. Step 6: Final answer
    x = 3,832.56

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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.