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Finding the Fourth Proportional to 10,879.24, 15,009.78 and 6,098.44

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Solution

The fourth proportional to 10,879.24, 15,009.78 and 6,098.44 is: 8,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.24 : 15,009.78 = 6,098.44 : x
  2. Step 2: Convert to fraction form
    10,879.24/15,009.78 = 6,098.44/x
  3. Step 3: Cross multiply
    10,879.24x = 15,009.78 × 6,098.44
  4. Step 4: Simplify right side
    10,879.24x = 91,536,242.74
  5. Step 5: Solve for x
    x = 91,536,242.74/10,879.24
  6. Step 6: Final answer
    x = 8,413.85

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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.