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Finding the Fourth Proportional to 8,182.81, 11,293.59 and 4,647.16

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Solution

The fourth proportional to 8,182.81, 11,293.59 and 4,647.16 is: 6,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.81 : 11,293.59 = 4,647.16 : x
  2. Step 2: Convert to fraction form
    8,182.81/11,293.59 = 4,647.16/x
  3. Step 3: Cross multiply
    8,182.81x = 11,293.59 × 4,647.16
  4. Step 4: Simplify right side
    8,182.81x = 52,483,119.70
  5. Step 5: Solve for x
    x = 52,483,119.70/8,182.81
  6. Step 6: Final answer
    x = 6,413.83

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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.