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Finding the Fourth Proportional to 7,406.62, 11,109.92 and 3,403.55

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Solution

The fourth proportional to 7,406.62, 11,109.92 and 3,403.55 is: 5,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.62 : 11,109.92 = 3,403.55 : x
  2. Step 2: Convert to fraction form
    7,406.62/11,109.92 = 3,403.55/x
  3. Step 3: Cross multiply
    7,406.62x = 11,109.92 × 3,403.55
  4. Step 4: Simplify right side
    7,406.62x = 37,813,178.97
  5. Step 5: Solve for x
    x = 37,813,178.97/7,406.62
  6. Step 6: Final answer
    x = 5,105.32

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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.