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Finding the Fourth Proportional to 8,141.80, 11,237.16 and 4,997.56

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Solution

The fourth proportional to 8,141.80, 11,237.16 and 4,997.56 is: 6,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.80 : 11,237.16 = 4,997.56 : x
  2. Step 2: Convert to fraction form
    8,141.80/11,237.16 = 4,997.56/x
  3. Step 3: Cross multiply
    8,141.80x = 11,237.16 × 4,997.56
  4. Step 4: Simplify right side
    8,141.80x = 56,158,381.33
  5. Step 5: Solve for x
    x = 56,158,381.33/8,141.80
  6. Step 6: Final answer
    x = 6,897.54

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