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Finding the Fourth Proportional to 7,309.48, 10,963.14 and 3,413.56

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Solution

The fourth proportional to 7,309.48, 10,963.14 and 3,413.56 is: 5,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.48 : 10,963.14 = 3,413.56 : x
  2. Step 2: Convert to fraction form
    7,309.48/10,963.14 = 3,413.56/x
  3. Step 3: Cross multiply
    7,309.48x = 10,963.14 × 3,413.56
  4. Step 4: Simplify right side
    7,309.48x = 37,423,336.18
  5. Step 5: Solve for x
    x = 37,423,336.18/7,309.48
  6. Step 6: Final answer
    x = 5,119.84

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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.