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Finding the Fourth Proportional to 10,773.36, 16,142.94 and 8,314.20

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Solution

The fourth proportional to 10,773.36, 16,142.94 and 8,314.20 is: 12,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.36 : 16,142.94 = 8,314.20 : x
  2. Step 2: Convert to fraction form
    10,773.36/16,142.94 = 8,314.20/x
  3. Step 3: Cross multiply
    10,773.36x = 16,142.94 × 8,314.20
  4. Step 4: Simplify right side
    10,773.36x = 134,215,631.75
  5. Step 5: Solve for x
    x = 134,215,631.75/10,773.36
  6. Step 6: Final answer
    x = 12,458.10

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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.