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Finding the Fourth Proportional to 8,271.77, 11,413.82 and 4,914.72

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Solution

The fourth proportional to 8,271.77, 11,413.82 and 4,914.72 is: 6,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.77 : 11,413.82 = 4,914.72 : x
  2. Step 2: Convert to fraction form
    8,271.77/11,413.82 = 4,914.72/x
  3. Step 3: Cross multiply
    8,271.77x = 11,413.82 × 4,914.72
  4. Step 4: Simplify right side
    8,271.77x = 56,095,741.72
  5. Step 5: Solve for x
    x = 56,095,741.72/8,271.77
  6. Step 6: Final answer
    x = 6,781.59

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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.