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Finding the Fourth Proportional to 6,705.09, 10,046.69 and 3,413.66

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Solution

The fourth proportional to 6,705.09, 10,046.69 and 3,413.66 is: 5,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.09 : 10,046.69 = 3,413.66 : x
  2. Step 2: Convert to fraction form
    6,705.09/10,046.69 = 3,413.66/x
  3. Step 3: Cross multiply
    6,705.09x = 10,046.69 × 3,413.66
  4. Step 4: Simplify right side
    6,705.09x = 34,295,916.48
  5. Step 5: Solve for x
    x = 34,295,916.48/6,705.09
  6. Step 6: Final answer
    x = 5,114.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.