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Finding the Fourth Proportional to 7,772.18, 10,722.93 and 5,413.46

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Solution

The fourth proportional to 7,772.18, 10,722.93 and 5,413.46 is: 7,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.18 : 10,722.93 = 5,413.46 : x
  2. Step 2: Convert to fraction form
    7,772.18/10,722.93 = 5,413.46/x
  3. Step 3: Cross multiply
    7,772.18x = 10,722.93 × 5,413.46
  4. Step 4: Simplify right side
    7,772.18x = 58,048,152.64
  5. Step 5: Solve for x
    x = 58,048,152.64/7,772.18
  6. Step 6: Final answer
    x = 7,468.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.