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Finding the Fourth Proportional to 8,261.42, 12,392.03 and 2,021.49

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Solution

The fourth proportional to 8,261.42, 12,392.03 and 2,021.49 is: 3,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.42 : 12,392.03 = 2,021.49 : x
  2. Step 2: Convert to fraction form
    8,261.42/12,392.03 = 2,021.49/x
  3. Step 3: Cross multiply
    8,261.42x = 12,392.03 × 2,021.49
  4. Step 4: Simplify right side
    8,261.42x = 25,050,354.62
  5. Step 5: Solve for x
    x = 25,050,354.62/8,261.42
  6. Step 6: Final answer
    x = 3,032.21

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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.