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Finding the Fourth Proportional to 10,778.64, 16,160.18 and 3,379.12

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Solution

The fourth proportional to 10,778.64, 16,160.18 and 3,379.12 is: 5,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.64 : 16,160.18 = 3,379.12 : x
  2. Step 2: Convert to fraction form
    10,778.64/16,160.18 = 3,379.12/x
  3. Step 3: Cross multiply
    10,778.64x = 16,160.18 × 3,379.12
  4. Step 4: Simplify right side
    10,778.64x = 54,607,187.44
  5. Step 5: Solve for x
    x = 54,607,187.44/10,778.64
  6. Step 6: Final answer
    x = 5,066.24

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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.