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Finding the Fourth Proportional to 7,105.98, 10,658.96 and 1,911.86

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Solution

The fourth proportional to 7,105.98, 10,658.96 and 1,911.86 is: 2,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.98 : 10,658.96 = 1,911.86 : x
  2. Step 2: Convert to fraction form
    7,105.98/10,658.96 = 1,911.86/x
  3. Step 3: Cross multiply
    7,105.98x = 10,658.96 × 1,911.86
  4. Step 4: Simplify right side
    7,105.98x = 20,378,390.75
  5. Step 5: Solve for x
    x = 20,378,390.75/7,105.98
  6. Step 6: Final answer
    x = 2,867.78

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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.