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Finding the Fourth Proportional to 8,130.86, 11,221.34 and 4,943.42

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Solution

The fourth proportional to 8,130.86, 11,221.34 and 4,943.42 is: 6,822.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.86 : 11,221.34 = 4,943.42 : x
  2. Step 2: Convert to fraction form
    8,130.86/11,221.34 = 4,943.42/x
  3. Step 3: Cross multiply
    8,130.86x = 11,221.34 × 4,943.42
  4. Step 4: Simplify right side
    8,130.86x = 55,471,796.58
  5. Step 5: Solve for x
    x = 55,471,796.58/8,130.86
  6. Step 6: Final answer
    x = 6,822.38

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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.