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Finding the Fourth Proportional to 8,822.42, 13,235.85 and 3,893.42

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Solution

The fourth proportional to 8,822.42, 13,235.85 and 3,893.42 is: 5,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.42 : 13,235.85 = 3,893.42 : x
  2. Step 2: Convert to fraction form
    8,822.42/13,235.85 = 3,893.42/x
  3. Step 3: Cross multiply
    8,822.42x = 13,235.85 × 3,893.42
  4. Step 4: Simplify right side
    8,822.42x = 51,532,723.11
  5. Step 5: Solve for x
    x = 51,532,723.11/8,822.42
  6. Step 6: Final answer
    x = 5,841.11

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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.