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Finding the Fourth Proportional to 7,413.57, 10,229.22 and 4,428.32

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Solution

The fourth proportional to 7,413.57, 10,229.22 and 4,428.32 is: 6,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.57 : 10,229.22 = 4,428.32 : x
  2. Step 2: Convert to fraction form
    7,413.57/10,229.22 = 4,428.32/x
  3. Step 3: Cross multiply
    7,413.57x = 10,229.22 × 4,428.32
  4. Step 4: Simplify right side
    7,413.57x = 45,298,208.36
  5. Step 5: Solve for x
    x = 45,298,208.36/7,413.57
  6. Step 6: Final answer
    x = 6,110.17

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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.