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Finding the Fourth Proportional to 11,730.56, 17,597.55 and 3,409.49

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Solution

The fourth proportional to 11,730.56, 17,597.55 and 3,409.49 is: 5,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.56 : 17,597.55 = 3,409.49 : x
  2. Step 2: Convert to fraction form
    11,730.56/17,597.55 = 3,409.49/x
  3. Step 3: Cross multiply
    11,730.56x = 17,597.55 × 3,409.49
  4. Step 4: Simplify right side
    11,730.56x = 59,998,648.75
  5. Step 5: Solve for x
    x = 59,998,648.75/11,730.56
  6. Step 6: Final answer
    x = 5,114.73

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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.