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Finding the Fourth Proportional to 11,657.74, 16,087.77 and 6,621.82

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Solution

The fourth proportional to 11,657.74, 16,087.77 and 6,621.82 is: 9,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.74 : 16,087.77 = 6,621.82 : x
  2. Step 2: Convert to fraction form
    11,657.74/16,087.77 = 6,621.82/x
  3. Step 3: Cross multiply
    11,657.74x = 16,087.77 × 6,621.82
  4. Step 4: Simplify right side
    11,657.74x = 106,530,317.14
  5. Step 5: Solve for x
    x = 106,530,317.14/11,657.74
  6. Step 6: Final answer
    x = 9,138.16

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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.