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Finding the Fourth Proportional to 11,549.20, 17,323.80 and 5,717.20

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Solution

The fourth proportional to 11,549.20, 17,323.80 and 5,717.20 is: 8,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.20 : 17,323.80 = 5,717.20 : x
  2. Step 2: Convert to fraction form
    11,549.20/17,323.80 = 5,717.20/x
  3. Step 3: Cross multiply
    11,549.20x = 17,323.80 × 5,717.20
  4. Step 4: Simplify right side
    11,549.20x = 99,043,629.36
  5. Step 5: Solve for x
    x = 99,043,629.36/11,549.20
  6. Step 6: Final answer
    x = 8,575.80

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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.