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Finding the Fourth Proportional to 11,449.10, 15,799.33 and 6,413.08

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Solution

The fourth proportional to 11,449.10, 15,799.33 and 6,413.08 is: 8,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.10 : 15,799.33 = 6,413.08 : x
  2. Step 2: Convert to fraction form
    11,449.10/15,799.33 = 6,413.08/x
  3. Step 3: Cross multiply
    11,449.10x = 15,799.33 × 6,413.08
  4. Step 4: Simplify right side
    11,449.10x = 101,322,311.71
  5. Step 5: Solve for x
    x = 101,322,311.71/11,449.10
  6. Step 6: Final answer
    x = 8,849.80

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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.