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Finding the Fourth Proportional to 11,844.56, 17,770.44 and 6,304.16

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Solution

The fourth proportional to 11,844.56, 17,770.44 and 6,304.16 is: 9,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,844.56 : 17,770.44 = 6,304.16 : x
  2. Step 2: Convert to fraction form
    11,844.56/17,770.44 = 6,304.16/x
  3. Step 3: Cross multiply
    11,844.56x = 17,770.44 × 6,304.16
  4. Step 4: Simplify right side
    11,844.56x = 112,027,697.03
  5. Step 5: Solve for x
    x = 112,027,697.03/11,844.56
  6. Step 6: Final answer
    x = 9,458.16

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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.