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Finding the Fourth Proportional to 7,413.75, 10,230.98 and 4,101.75

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Solution

The fourth proportional to 7,413.75, 10,230.98 and 4,101.75 is: 5,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.75 : 10,230.98 = 4,101.75 : x
  2. Step 2: Convert to fraction form
    7,413.75/10,230.98 = 4,101.75/x
  3. Step 3: Cross multiply
    7,413.75x = 10,230.98 × 4,101.75
  4. Step 4: Simplify right side
    7,413.75x = 41,964,901.71
  5. Step 5: Solve for x
    x = 41,964,901.71/7,413.75
  6. Step 6: Final answer
    x = 5,660.42

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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.