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Finding the Fourth Proportional to 11,657.90, 16,088.01 and 6,352.82

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Solution

The fourth proportional to 11,657.90, 16,088.01 and 6,352.82 is: 8,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.90 : 16,088.01 = 6,352.82 : x
  2. Step 2: Convert to fraction form
    11,657.90/16,088.01 = 6,352.82/x
  3. Step 3: Cross multiply
    11,657.90x = 16,088.01 × 6,352.82
  4. Step 4: Simplify right side
    11,657.90x = 102,204,231.69
  5. Step 5: Solve for x
    x = 102,204,231.69/11,657.90
  6. Step 6: Final answer
    x = 8,766.95

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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.