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Finding the Fourth Proportional to 11,448.32, 17,178.86 and 6,183.22

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Solution

The fourth proportional to 11,448.32, 17,178.86 and 6,183.22 is: 9,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.32 : 17,178.86 = 6,183.22 : x
  2. Step 2: Convert to fraction form
    11,448.32/17,178.86 = 6,183.22/x
  3. Step 3: Cross multiply
    11,448.32x = 17,178.86 × 6,183.22
  4. Step 4: Simplify right side
    11,448.32x = 106,220,639.81
  5. Step 5: Solve for x
    x = 106,220,639.81/11,448.32
  6. Step 6: Final answer
    x = 9,278.28

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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.