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Finding the Fourth Proportional to 8,413.26, 11,610.14 and 4,636.78

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Solution

The fourth proportional to 8,413.26, 11,610.14 and 4,636.78 is: 6,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.26 : 11,610.14 = 4,636.78 : x
  2. Step 2: Convert to fraction form
    8,413.26/11,610.14 = 4,636.78/x
  3. Step 3: Cross multiply
    8,413.26x = 11,610.14 × 4,636.78
  4. Step 4: Simplify right side
    8,413.26x = 53,833,606.90
  5. Step 5: Solve for x
    x = 53,833,606.90/8,413.26
  6. Step 6: Final answer
    x = 6,398.66

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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.