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Finding the Fourth Proportional to 8,275.86, 12,413.79 and 5,352.57

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Solution

The fourth proportional to 8,275.86, 12,413.79 and 5,352.57 is: 8,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.86 : 12,413.79 = 5,352.57 : x
  2. Step 2: Convert to fraction form
    8,275.86/12,413.79 = 5,352.57/x
  3. Step 3: Cross multiply
    8,275.86x = 12,413.79 × 5,352.57
  4. Step 4: Simplify right side
    8,275.86x = 66,445,679.94
  5. Step 5: Solve for x
    x = 66,445,679.94/8,275.86
  6. Step 6: Final answer
    x = 8,028.86

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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.