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Finding the Fourth Proportional to 11,450.46, 15,800.76 and 6,413.52

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Solution

The fourth proportional to 11,450.46, 15,800.76 and 6,413.52 is: 8,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,450.46 : 15,800.76 = 6,413.52 : x
  2. Step 2: Convert to fraction form
    11,450.46/15,800.76 = 6,413.52/x
  3. Step 3: Cross multiply
    11,450.46x = 15,800.76 × 6,413.52
  4. Step 4: Simplify right side
    11,450.46x = 101,338,490.28
  5. Step 5: Solve for x
    x = 101,338,490.28/11,450.46
  6. Step 6: Final answer
    x = 8,850.17

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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.