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Finding the Fourth Proportional to 8,116.78, 11,201.34 and 5,285.56

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Solution

The fourth proportional to 8,116.78, 11,201.34 and 5,285.56 is: 7,294.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.78 : 11,201.34 = 5,285.56 : x
  2. Step 2: Convert to fraction form
    8,116.78/11,201.34 = 5,285.56/x
  3. Step 3: Cross multiply
    8,116.78x = 11,201.34 × 5,285.56
  4. Step 4: Simplify right side
    8,116.78x = 59,205,354.65
  5. Step 5: Solve for x
    x = 59,205,354.65/8,116.78
  6. Step 6: Final answer
    x = 7,294.19

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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.