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Finding the Fourth Proportional to 8,025, 11,086.72 and 6,413.40

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Solution

The fourth proportional to 8,025, 11,086.72 and 6,413.40 is: 8,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,025 : 11,086.72 = 6,413.40 : x
  2. Step 2: Convert to fraction form
    8,025/11,086.72 = 6,413.40/x
  3. Step 3: Cross multiply
    8,025x = 11,086.72 × 6,413.40
  4. Step 4: Simplify right side
    8,025x = 71,103,570.05
  5. Step 5: Solve for x
    x = 71,103,570.05/8,025
  6. Step 6: Final answer
    x = 8,860.26

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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.