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Finding the Fourth Proportional to 10,777.95, 16,166.90 and 3,382.44

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Solution

The fourth proportional to 10,777.95, 16,166.90 and 3,382.44 is: 5,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.95 : 16,166.90 = 3,382.44 : x
  2. Step 2: Convert to fraction form
    10,777.95/16,166.90 = 3,382.44/x
  3. Step 3: Cross multiply
    10,777.95x = 16,166.90 × 3,382.44
  4. Step 4: Simplify right side
    10,777.95x = 54,683,552.32
  5. Step 5: Solve for x
    x = 54,683,552.32/10,777.95
  6. Step 6: Final answer
    x = 5,073.65

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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.