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Finding the Fourth Proportional to 8,275.86, 12,413.74 and 3,595.26

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Solution

The fourth proportional to 8,275.86, 12,413.74 and 3,595.26 is: 5,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.86 : 12,413.74 = 3,595.26 : x
  2. Step 2: Convert to fraction form
    8,275.86/12,413.74 = 3,595.26/x
  3. Step 3: Cross multiply
    8,275.86x = 12,413.74 × 3,595.26
  4. Step 4: Simplify right side
    8,275.86x = 44,630,622.87
  5. Step 5: Solve for x
    x = 44,630,622.87/8,275.86
  6. Step 6: Final answer
    x = 5,392.87

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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.