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Finding the Fourth Proportional to 8,106.35, 12,162.42 and 2,560.01

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Solution

The fourth proportional to 8,106.35, 12,162.42 and 2,560.01 is: 3,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.35 : 12,162.42 = 2,560.01 : x
  2. Step 2: Convert to fraction form
    8,106.35/12,162.42 = 2,560.01/x
  3. Step 3: Cross multiply
    8,106.35x = 12,162.42 × 2,560.01
  4. Step 4: Simplify right side
    8,106.35x = 31,135,856.01
  5. Step 5: Solve for x
    x = 31,135,856.01/8,106.35
  6. Step 6: Final answer
    x = 3,840.92

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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.