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Finding the Fourth Proportional to 8,329.88, 11,493.52 and 4,971.62

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Solution

The fourth proportional to 8,329.88, 11,493.52 and 4,971.62 is: 6,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.88 : 11,493.52 = 4,971.62 : x
  2. Step 2: Convert to fraction form
    8,329.88/11,493.52 = 4,971.62/x
  3. Step 3: Cross multiply
    8,329.88x = 11,493.52 × 4,971.62
  4. Step 4: Simplify right side
    8,329.88x = 57,141,413.90
  5. Step 5: Solve for x
    x = 57,141,413.90/8,329.88
  6. Step 6: Final answer
    x = 6,859.81

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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.