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Finding the Fourth Proportional to 11,601.42, 16,009.08 and 6,821.56

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Solution

The fourth proportional to 11,601.42, 16,009.08 and 6,821.56 is: 9,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.42 : 16,009.08 = 6,821.56 : x
  2. Step 2: Convert to fraction form
    11,601.42/16,009.08 = 6,821.56/x
  3. Step 3: Cross multiply
    11,601.42x = 16,009.08 × 6,821.56
  4. Step 4: Simplify right side
    11,601.42x = 109,206,899.76
  5. Step 5: Solve for x
    x = 109,206,899.76/11,601.42
  6. Step 6: Final answer
    x = 9,413.24

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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.