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Finding the Fourth Proportional to 8,256.87, 12,386.41 and 2,413.40

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Solution

The fourth proportional to 8,256.87, 12,386.41 and 2,413.40 is: 3,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.87 : 12,386.41 = 2,413.40 : x
  2. Step 2: Convert to fraction form
    8,256.87/12,386.41 = 2,413.40/x
  3. Step 3: Cross multiply
    8,256.87x = 12,386.41 × 2,413.40
  4. Step 4: Simplify right side
    8,256.87x = 29,893,293.93
  5. Step 5: Solve for x
    x = 29,893,293.93/8,256.87
  6. Step 6: Final answer
    x = 3,620.41

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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.