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Finding the Fourth Proportional to 5,413.47, 8,138.73 and 5,007.66

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Solution

The fourth proportional to 5,413.47, 8,138.73 and 5,007.66 is: 7,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.47 : 8,138.73 = 5,007.66 : x
  2. Step 2: Convert to fraction form
    5,413.47/8,138.73 = 5,007.66/x
  3. Step 3: Cross multiply
    5,413.47x = 8,138.73 × 5,007.66
  4. Step 4: Simplify right side
    5,413.47x = 40,755,992.67
  5. Step 5: Solve for x
    x = 40,755,992.67/5,413.47
  6. Step 6: Final answer
    x = 7,528.63

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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.