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Finding the Fourth Proportional to 8,261.11, 11,400.41 and 4,484.31

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Solution

The fourth proportional to 8,261.11, 11,400.41 and 4,484.31 is: 6,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.11 : 11,400.41 = 4,484.31 : x
  2. Step 2: Convert to fraction form
    8,261.11/11,400.41 = 4,484.31/x
  3. Step 3: Cross multiply
    8,261.11x = 11,400.41 × 4,484.31
  4. Step 4: Simplify right side
    8,261.11x = 51,122,983.78
  5. Step 5: Solve for x
    x = 51,122,983.78/8,261.11
  6. Step 6: Final answer
    x = 6,188.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.