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Finding the Fourth Proportional to 10,129.11, 13,977.78 and 5,879.96

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Solution

The fourth proportional to 10,129.11, 13,977.78 and 5,879.96 is: 8,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.11 : 13,977.78 = 5,879.96 : x
  2. Step 2: Convert to fraction form
    10,129.11/13,977.78 = 5,879.96/x
  3. Step 3: Cross multiply
    10,129.11x = 13,977.78 × 5,879.96
  4. Step 4: Simplify right side
    10,129.11x = 82,188,787.29
  5. Step 5: Solve for x
    x = 82,188,787.29/10,129.11
  6. Step 6: Final answer
    x = 8,114.12

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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.