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Finding the Fourth Proportional to 11,192.47, 15,446.74 and 6,413.05

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Solution

The fourth proportional to 11,192.47, 15,446.74 and 6,413.05 is: 8,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.47 : 15,446.74 = 6,413.05 : x
  2. Step 2: Convert to fraction form
    11,192.47/15,446.74 = 6,413.05/x
  3. Step 3: Cross multiply
    11,192.47x = 15,446.74 × 6,413.05
  4. Step 4: Simplify right side
    11,192.47x = 99,060,726.34
  5. Step 5: Solve for x
    x = 99,060,726.34/11,192.47
  6. Step 6: Final answer
    x = 8,850.66

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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.