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Finding the Fourth Proportional to 8,129.86, 11,219.96 and 4,942.42

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Solution

The fourth proportional to 8,129.86, 11,219.96 and 4,942.42 is: 6,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.86 : 11,219.96 = 4,942.42 : x
  2. Step 2: Convert to fraction form
    8,129.86/11,219.96 = 4,942.42/x
  3. Step 3: Cross multiply
    8,129.86x = 11,219.96 × 4,942.42
  4. Step 4: Simplify right side
    8,129.86x = 55,453,754.70
  5. Step 5: Solve for x
    x = 55,453,754.70/8,129.86
  6. Step 6: Final answer
    x = 6,821.00

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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.