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Finding the Fourth Proportional to 11,216.19, 16,802.42 and 8,249.16

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Solution

The fourth proportional to 11,216.19, 16,802.42 and 8,249.16 is: 12,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.19 : 16,802.42 = 8,249.16 : x
  2. Step 2: Convert to fraction form
    11,216.19/16,802.42 = 8,249.16/x
  3. Step 3: Cross multiply
    11,216.19x = 16,802.42 × 8,249.16
  4. Step 4: Simplify right side
    11,216.19x = 138,605,809.72
  5. Step 5: Solve for x
    x = 138,605,809.72/11,216.19
  6. Step 6: Final answer
    x = 12,357.66

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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.