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Finding the Fourth Proportional to 8,226.31, 12,344.93 and 3,844.10

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Solution

The fourth proportional to 8,226.31, 12,344.93 and 3,844.10 is: 5,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.31 : 12,344.93 = 3,844.10 : x
  2. Step 2: Convert to fraction form
    8,226.31/12,344.93 = 3,844.10/x
  3. Step 3: Cross multiply
    8,226.31x = 12,344.93 × 3,844.10
  4. Step 4: Simplify right side
    8,226.31x = 47,455,145.41
  5. Step 5: Solve for x
    x = 47,455,145.41/8,226.31
  6. Step 6: Final answer
    x = 5,768.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.