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Finding the Fourth Proportional to 10,778.95, 16,173.92 and 6,342.99

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Solution

The fourth proportional to 10,778.95, 16,173.92 and 6,342.99 is: 9,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.95 : 16,173.92 = 6,342.99 : x
  2. Step 2: Convert to fraction form
    10,778.95/16,173.92 = 6,342.99/x
  3. Step 3: Cross multiply
    10,778.95x = 16,173.92 × 6,342.99
  4. Step 4: Simplify right side
    10,778.95x = 102,591,012.82
  5. Step 5: Solve for x
    x = 102,591,012.82/10,778.95
  6. Step 6: Final answer
    x = 9,517.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.