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Finding the Fourth Proportional to 8,027, 11,084.10 and 5,047.82

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Solution

The fourth proportional to 8,027, 11,084.10 and 5,047.82 is: 6,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027 : 11,084.10 = 5,047.82 : x
  2. Step 2: Convert to fraction form
    8,027/11,084.10 = 5,047.82/x
  3. Step 3: Cross multiply
    8,027x = 11,084.10 × 5,047.82
  4. Step 4: Simplify right side
    8,027x = 55,950,541.66
  5. Step 5: Solve for x
    x = 55,950,541.66/8,027
  6. Step 6: Final answer
    x = 6,970.29

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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.