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Finding the Fourth Proportional to 11,449.20, 15,799.45 and 6,413.12

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Solution

The fourth proportional to 11,449.20, 15,799.45 and 6,413.12 is: 8,849.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.20 : 15,799.45 = 6,413.12 : x
  2. Step 2: Convert to fraction form
    11,449.20/15,799.45 = 6,413.12/x
  3. Step 3: Cross multiply
    11,449.20x = 15,799.45 × 6,413.12
  4. Step 4: Simplify right side
    11,449.20x = 101,323,799.69
  5. Step 5: Solve for x
    x = 101,323,799.69/11,449.20
  6. Step 6: Final answer
    x = 8,849.86

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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.