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Finding the Fourth Proportional to 8,263.91, 11,413.50 and 5,606.71

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Solution

The fourth proportional to 8,263.91, 11,413.50 and 5,606.71 is: 7,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.91 : 11,413.50 = 5,606.71 : x
  2. Step 2: Convert to fraction form
    8,263.91/11,413.50 = 5,606.71/x
  3. Step 3: Cross multiply
    8,263.91x = 11,413.50 × 5,606.71
  4. Step 4: Simplify right side
    8,263.91x = 63,992,184.59
  5. Step 5: Solve for x
    x = 63,992,184.59/8,263.91
  6. Step 6: Final answer
    x = 7,743.57

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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.