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Finding the Fourth Proportional to 11,657.82, 16,087.51 and 6,352.53

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Solution

The fourth proportional to 11,657.82, 16,087.51 and 6,352.53 is: 8,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.82 : 16,087.51 = 6,352.53 : x
  2. Step 2: Convert to fraction form
    11,657.82/16,087.51 = 6,352.53/x
  3. Step 3: Cross multiply
    11,657.82x = 16,087.51 × 6,352.53
  4. Step 4: Simplify right side
    11,657.82x = 102,196,337.51
  5. Step 5: Solve for x
    x = 102,196,337.51/11,657.82
  6. Step 6: Final answer
    x = 8,766.33

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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.