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Finding the Fourth Proportional to 8,413.78, 12,612.63 and 3,147.36

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Solution

The fourth proportional to 8,413.78, 12,612.63 and 3,147.36 is: 4,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.78 : 12,612.63 = 3,147.36 : x
  2. Step 2: Convert to fraction form
    8,413.78/12,612.63 = 3,147.36/x
  3. Step 3: Cross multiply
    8,413.78x = 12,612.63 × 3,147.36
  4. Step 4: Simplify right side
    8,413.78x = 39,696,487.16
  5. Step 5: Solve for x
    x = 39,696,487.16/8,413.78
  6. Step 6: Final answer
    x = 4,718.03

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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.