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Finding the Fourth Proportional to 8,271.36, 11,413.11 and 4,734.57

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Solution

The fourth proportional to 8,271.36, 11,413.11 and 4,734.57 is: 6,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.36 : 11,413.11 = 4,734.57 : x
  2. Step 2: Convert to fraction form
    8,271.36/11,413.11 = 4,734.57/x
  3. Step 3: Cross multiply
    8,271.36x = 11,413.11 × 4,734.57
  4. Step 4: Simplify right side
    8,271.36x = 54,036,168.21
  5. Step 5: Solve for x
    x = 54,036,168.21/8,271.36
  6. Step 6: Final answer
    x = 6,532.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.