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Finding the Fourth Proportional to 8,153.92, 11,257.41 and 5,635.09

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Solution

The fourth proportional to 8,153.92, 11,257.41 and 5,635.09 is: 7,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.92 : 11,257.41 = 5,635.09 : x
  2. Step 2: Convert to fraction form
    8,153.92/11,257.41 = 5,635.09/x
  3. Step 3: Cross multiply
    8,153.92x = 11,257.41 × 5,635.09
  4. Step 4: Simplify right side
    8,153.92x = 63,436,518.52
  5. Step 5: Solve for x
    x = 63,436,518.52/8,153.92
  6. Step 6: Final answer
    x = 7,779.88

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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.