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Finding the Fourth Proportional to 11,600.20, 17,409.90 and 5,369.80

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Solution

The fourth proportional to 11,600.20, 17,409.90 and 5,369.80 is: 8,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.20 : 17,409.90 = 5,369.80 : x
  2. Step 2: Convert to fraction form
    11,600.20/17,409.90 = 5,369.80/x
  3. Step 3: Cross multiply
    11,600.20x = 17,409.90 × 5,369.80
  4. Step 4: Simplify right side
    11,600.20x = 93,487,681.02
  5. Step 5: Solve for x
    x = 93,487,681.02/11,600.20
  6. Step 6: Final answer
    x = 8,059.14

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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.