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Finding the Fourth Proportional to 11,486.34, 17,229.60 and 3,166.82

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Solution

The fourth proportional to 11,486.34, 17,229.60 and 3,166.82 is: 4,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.34 : 17,229.60 = 3,166.82 : x
  2. Step 2: Convert to fraction form
    11,486.34/17,229.60 = 3,166.82/x
  3. Step 3: Cross multiply
    11,486.34x = 17,229.60 × 3,166.82
  4. Step 4: Simplify right side
    11,486.34x = 54,563,041.87
  5. Step 5: Solve for x
    x = 54,563,041.87/11,486.34
  6. Step 6: Final answer
    x = 4,750.25

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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.