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Finding the Fourth Proportional to 8,569.29, 12,854.98 and 2,413.29

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Solution

The fourth proportional to 8,569.29, 12,854.98 and 2,413.29 is: 3,620.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.29 : 12,854.98 = 2,413.29 : x
  2. Step 2: Convert to fraction form
    8,569.29/12,854.98 = 2,413.29/x
  3. Step 3: Cross multiply
    8,569.29x = 12,854.98 × 2,413.29
  4. Step 4: Simplify right side
    8,569.29x = 31,022,782.62
  5. Step 5: Solve for x
    x = 31,022,782.62/8,569.29
  6. Step 6: Final answer
    x = 3,620.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.