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Finding the Fourth Proportional to 7,311.50, 10,961.76 and 2,378.22

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Solution

The fourth proportional to 7,311.50, 10,961.76 and 2,378.22 is: 3,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.50 : 10,961.76 = 2,378.22 : x
  2. Step 2: Convert to fraction form
    7,311.50/10,961.76 = 2,378.22/x
  3. Step 3: Cross multiply
    7,311.50x = 10,961.76 × 2,378.22
  4. Step 4: Simplify right side
    7,311.50x = 26,069,476.87
  5. Step 5: Solve for x
    x = 26,069,476.87/7,311.50
  6. Step 6: Final answer
    x = 3,565.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.