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Finding the Fourth Proportional to 8,498.71, 11,729.78 and 6,632.47

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Solution

The fourth proportional to 8,498.71, 11,729.78 and 6,632.47 is: 9,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.71 : 11,729.78 = 6,632.47 : x
  2. Step 2: Convert to fraction form
    8,498.71/11,729.78 = 6,632.47/x
  3. Step 3: Cross multiply
    8,498.71x = 11,729.78 × 6,632.47
  4. Step 4: Simplify right side
    8,498.71x = 77,797,413.96
  5. Step 5: Solve for x
    x = 77,797,413.96/8,498.71
  6. Step 6: Final answer
    x = 9,154.03

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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.