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Finding the Fourth Proportional to 8,101.44, 12,143.52 and 3,420.48

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Solution

The fourth proportional to 8,101.44, 12,143.52 and 3,420.48 is: 5,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.44 : 12,143.52 = 3,420.48 : x
  2. Step 2: Convert to fraction form
    8,101.44/12,143.52 = 3,420.48/x
  3. Step 3: Cross multiply
    8,101.44x = 12,143.52 × 3,420.48
  4. Step 4: Simplify right side
    8,101.44x = 41,536,667.29
  5. Step 5: Solve for x
    x = 41,536,667.29/8,101.44
  6. Step 6: Final answer
    x = 5,127.07

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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.