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Finding the Fourth Proportional to 11,608.60, 17,406.42 and 3,816.76

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Solution

The fourth proportional to 11,608.60, 17,406.42 and 3,816.76 is: 5,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.60 : 17,406.42 = 3,816.76 : x
  2. Step 2: Convert to fraction form
    11,608.60/17,406.42 = 3,816.76/x
  3. Step 3: Cross multiply
    11,608.60x = 17,406.42 × 3,816.76
  4. Step 4: Simplify right side
    11,608.60x = 66,436,127.60
  5. Step 5: Solve for x
    x = 66,436,127.60/11,608.60
  6. Step 6: Final answer
    x = 5,723.01

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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.