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Finding the Fourth Proportional to 8,413.25, 12,610.31 and 5,119.08

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Solution

The fourth proportional to 8,413.25, 12,610.31 and 5,119.08 is: 7,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.25 : 12,610.31 = 5,119.08 : x
  2. Step 2: Convert to fraction form
    8,413.25/12,610.31 = 5,119.08/x
  3. Step 3: Cross multiply
    8,413.25x = 12,610.31 × 5,119.08
  4. Step 4: Simplify right side
    8,413.25x = 64,553,160.12
  5. Step 5: Solve for x
    x = 64,553,160.12/8,413.25
  6. Step 6: Final answer
    x = 7,672.80

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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.