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Finding the Fourth Proportional to 11,874.92, 17,812.78 and 4,477.64

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Solution

The fourth proportional to 11,874.92, 17,812.78 and 4,477.64 is: 6,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.92 : 17,812.78 = 4,477.64 : x
  2. Step 2: Convert to fraction form
    11,874.92/17,812.78 = 4,477.64/x
  3. Step 3: Cross multiply
    11,874.92x = 17,812.78 × 4,477.64
  4. Step 4: Simplify right side
    11,874.92x = 79,759,216.24
  5. Step 5: Solve for x
    x = 79,759,216.24/11,874.92
  6. Step 6: Final answer
    x = 6,716.61

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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.