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Finding the Fourth Proportional to 7,766.44, 11,651.10 and 5,539.72

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Solution

The fourth proportional to 7,766.44, 11,651.10 and 5,539.72 is: 8,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.44 : 11,651.10 = 5,539.72 : x
  2. Step 2: Convert to fraction form
    7,766.44/11,651.10 = 5,539.72/x
  3. Step 3: Cross multiply
    7,766.44x = 11,651.10 × 5,539.72
  4. Step 4: Simplify right side
    7,766.44x = 64,543,831.69
  5. Step 5: Solve for x
    x = 64,543,831.69/7,766.44
  6. Step 6: Final answer
    x = 8,310.61

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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.