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Finding the Fourth Proportional to 8,413.96, 12,628.73 and 4,256.91

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Solution

The fourth proportional to 8,413.96, 12,628.73 and 4,256.91 is: 6,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.96 : 12,628.73 = 4,256.91 : x
  2. Step 2: Convert to fraction form
    8,413.96/12,628.73 = 4,256.91/x
  3. Step 3: Cross multiply
    8,413.96x = 12,628.73 × 4,256.91
  4. Step 4: Simplify right side
    8,413.96x = 53,759,367.02
  5. Step 5: Solve for x
    x = 53,759,367.02/8,413.96
  6. Step 6: Final answer
    x = 6,389.31

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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.