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Finding the Fourth Proportional to 7,766.50, 11,649.83 and 4,311.02

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Solution

The fourth proportional to 7,766.50, 11,649.83 and 4,311.02 is: 6,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.50 : 11,649.83 = 4,311.02 : x
  2. Step 2: Convert to fraction form
    7,766.50/11,649.83 = 4,311.02/x
  3. Step 3: Cross multiply
    7,766.50x = 11,649.83 × 4,311.02
  4. Step 4: Simplify right side
    7,766.50x = 50,222,650.13
  5. Step 5: Solve for x
    x = 50,222,650.13/7,766.50
  6. Step 6: Final answer
    x = 6,466.57

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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.