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Finding the Fourth Proportional to 10,773.08, 16,160.22 and 4,198.71

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Solution

The fourth proportional to 10,773.08, 16,160.22 and 4,198.71 is: 6,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.08 : 16,160.22 = 4,198.71 : x
  2. Step 2: Convert to fraction form
    10,773.08/16,160.22 = 4,198.71/x
  3. Step 3: Cross multiply
    10,773.08x = 16,160.22 × 4,198.71
  4. Step 4: Simplify right side
    10,773.08x = 67,852,077.32
  5. Step 5: Solve for x
    x = 67,852,077.32/10,773.08
  6. Step 6: Final answer
    x = 6,298.30

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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.