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Finding the Fourth Proportional to 8,314.96, 11,474.87 and 4,958.05

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Solution

The fourth proportional to 8,314.96, 11,474.87 and 4,958.05 is: 6,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.96 : 11,474.87 = 4,958.05 : x
  2. Step 2: Convert to fraction form
    8,314.96/11,474.87 = 4,958.05/x
  3. Step 3: Cross multiply
    8,314.96x = 11,474.87 × 4,958.05
  4. Step 4: Simplify right side
    8,314.96x = 56,892,979.20
  5. Step 5: Solve for x
    x = 56,892,979.20/8,314.96
  6. Step 6: Final answer
    x = 6,842.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.