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Finding the Fourth Proportional to 11,777.20, 17,649.60 and 7,817.20

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Solution

The fourth proportional to 11,777.20, 17,649.60 and 7,817.20 is: 11,715.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.20 : 17,649.60 = 7,817.20 : x
  2. Step 2: Convert to fraction form
    11,777.20/17,649.60 = 7,817.20/x
  3. Step 3: Cross multiply
    11,777.20x = 17,649.60 × 7,817.20
  4. Step 4: Simplify right side
    11,777.20x = 137,970,453.12
  5. Step 5: Solve for x
    x = 137,970,453.12/11,777.20
  6. Step 6: Final answer
    x = 11,715.05

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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.