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Finding the Fourth Proportional to 10,811.16, 16,217.22 and 3,314.18

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Solution

The fourth proportional to 10,811.16, 16,217.22 and 3,314.18 is: 4,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.16 : 16,217.22 = 3,314.18 : x
  2. Step 2: Convert to fraction form
    10,811.16/16,217.22 = 3,314.18/x
  3. Step 3: Cross multiply
    10,811.16x = 16,217.22 × 3,314.18
  4. Step 4: Simplify right side
    10,811.16x = 53,746,794.47
  5. Step 5: Solve for x
    x = 53,746,794.47/10,811.16
  6. Step 6: Final answer
    x = 4,971.42

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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.