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Finding the Fourth Proportional to 8,416.46, 11,550.68 and 7,745.78

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Solution

The fourth proportional to 8,416.46, 11,550.68 and 7,745.78 is: 10,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.46 : 11,550.68 = 7,745.78 : x
  2. Step 2: Convert to fraction form
    8,416.46/11,550.68 = 7,745.78/x
  3. Step 3: Cross multiply
    8,416.46x = 11,550.68 × 7,745.78
  4. Step 4: Simplify right side
    8,416.46x = 89,468,929.65
  5. Step 5: Solve for x
    x = 89,468,929.65/8,416.46
  6. Step 6: Final answer
    x = 10,630.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.