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Finding the Fourth Proportional to 11,005.83, 16,508.16 and 3,609.32

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Solution

The fourth proportional to 11,005.83, 16,508.16 and 3,609.32 is: 5,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005.83 : 16,508.16 = 3,609.32 : x
  2. Step 2: Convert to fraction form
    11,005.83/16,508.16 = 3,609.32/x
  3. Step 3: Cross multiply
    11,005.83x = 16,508.16 × 3,609.32
  4. Step 4: Simplify right side
    11,005.83x = 59,583,149.51
  5. Step 5: Solve for x
    x = 59,583,149.51/11,005.83
  6. Step 6: Final answer
    x = 5,413.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.