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Finding the Fourth Proportional to 7,413.66, 10,234.55 and 4,269.24

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Solution

The fourth proportional to 7,413.66, 10,234.55 and 4,269.24 is: 5,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.66 : 10,234.55 = 4,269.24 : x
  2. Step 2: Convert to fraction form
    7,413.66/10,234.55 = 4,269.24/x
  3. Step 3: Cross multiply
    7,413.66x = 10,234.55 × 4,269.24
  4. Step 4: Simplify right side
    7,413.66x = 43,693,760.92
  5. Step 5: Solve for x
    x = 43,693,760.92/7,413.66
  6. Step 6: Final answer
    x = 5,893.68

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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.