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Finding the Fourth Proportional to 8,413.46, 12,604.71 and 7,097.66

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Solution

The fourth proportional to 8,413.46, 12,604.71 and 7,097.66 is: 10,633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.46 : 12,604.71 = 7,097.66 : x
  2. Step 2: Convert to fraction form
    8,413.46/12,604.71 = 7,097.66/x
  3. Step 3: Cross multiply
    8,413.46x = 12,604.71 × 7,097.66
  4. Step 4: Simplify right side
    8,413.46x = 89,463,945.98
  5. Step 5: Solve for x
    x = 89,463,945.98/8,413.46
  6. Step 6: Final answer
    x = 10,633.43

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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.