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Finding the Fourth Proportional to 8,069.10, 12,100.54 and 3,138.08

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Solution

The fourth proportional to 8,069.10, 12,100.54 and 3,138.08 is: 4,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.10 : 12,100.54 = 3,138.08 : x
  2. Step 2: Convert to fraction form
    8,069.10/12,100.54 = 3,138.08/x
  3. Step 3: Cross multiply
    8,069.10x = 12,100.54 × 3,138.08
  4. Step 4: Simplify right side
    8,069.10x = 37,972,462.56
  5. Step 5: Solve for x
    x = 37,972,462.56/8,069.10
  6. Step 6: Final answer
    x = 4,705.91

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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.