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Finding the Fourth Proportional to 11,413.02, 15,755.68 and 7,706.46

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Solution

The fourth proportional to 11,413.02, 15,755.68 and 7,706.46 is: 10,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.02 : 15,755.68 = 7,706.46 : x
  2. Step 2: Convert to fraction form
    11,413.02/15,755.68 = 7,706.46/x
  3. Step 3: Cross multiply
    11,413.02x = 15,755.68 × 7,706.46
  4. Step 4: Simplify right side
    11,413.02x = 121,420,517.69
  5. Step 5: Solve for x
    x = 121,420,517.69/11,413.02
  6. Step 6: Final answer
    x = 10,638.77

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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.