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Finding the Fourth Proportional to 11,382.81, 17,074.22 and 6,120.30

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Solution

The fourth proportional to 11,382.81, 17,074.22 and 6,120.30 is: 9,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.81 : 17,074.22 = 6,120.30 : x
  2. Step 2: Convert to fraction form
    11,382.81/17,074.22 = 6,120.30/x
  3. Step 3: Cross multiply
    11,382.81x = 17,074.22 × 6,120.30
  4. Step 4: Simplify right side
    11,382.81x = 104,499,279.25
  5. Step 5: Solve for x
    x = 104,499,279.25/11,382.81
  6. Step 6: Final answer
    x = 9,180.45

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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.