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Finding the Fourth Proportional to 6,744.60, 10,095.30 and 3,616.92

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Solution

The fourth proportional to 6,744.60, 10,095.30 and 3,616.92 is: 5,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.60 : 10,095.30 = 3,616.92 : x
  2. Step 2: Convert to fraction form
    6,744.60/10,095.30 = 3,616.92/x
  3. Step 3: Cross multiply
    6,744.60x = 10,095.30 × 3,616.92
  4. Step 4: Simplify right side
    6,744.60x = 36,513,892.48
  5. Step 5: Solve for x
    x = 36,513,892.48/6,744.60
  6. Step 6: Final answer
    x = 5,413.80

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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.