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Finding the Fourth Proportional to 11,486.10, 17,229.12 and 3,166.16

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Solution

The fourth proportional to 11,486.10, 17,229.12 and 3,166.16 is: 4,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.10 : 17,229.12 = 3,166.16 : x
  2. Step 2: Convert to fraction form
    11,486.10/17,229.12 = 3,166.16/x
  3. Step 3: Cross multiply
    11,486.10x = 17,229.12 × 3,166.16
  4. Step 4: Simplify right side
    11,486.10x = 54,550,150.58
  5. Step 5: Solve for x
    x = 54,550,150.58/11,486.10
  6. Step 6: Final answer
    x = 4,749.23

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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.