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Finding the Fourth Proportional to 8,406.89, 11,580.12 and 6,413.99

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Solution

The fourth proportional to 8,406.89, 11,580.12 and 6,413.99 is: 8,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.89 : 11,580.12 = 6,413.99 : x
  2. Step 2: Convert to fraction form
    8,406.89/11,580.12 = 6,413.99/x
  3. Step 3: Cross multiply
    8,406.89x = 11,580.12 × 6,413.99
  4. Step 4: Simplify right side
    8,406.89x = 74,274,715.98
  5. Step 5: Solve for x
    x = 74,274,715.98/8,406.89
  6. Step 6: Final answer
    x = 8,834.99

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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.