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Finding the Fourth Proportional to 11,177.80, 16,766.70 and 7,241.20

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Solution

The fourth proportional to 11,177.80, 16,766.70 and 7,241.20 is: 10,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.80 : 16,766.70 = 7,241.20 : x
  2. Step 2: Convert to fraction form
    11,177.80/16,766.70 = 7,241.20/x
  3. Step 3: Cross multiply
    11,177.80x = 16,766.70 × 7,241.20
  4. Step 4: Simplify right side
    11,177.80x = 121,411,028.04
  5. Step 5: Solve for x
    x = 121,411,028.04/11,177.80
  6. Step 6: Final answer
    x = 10,861.80

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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.