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Finding the Fourth Proportional to 7,546.64, 11,307.66 and 3,843.80

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Solution

The fourth proportional to 7,546.64, 11,307.66 and 3,843.80 is: 5,759.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.64 : 11,307.66 = 3,843.80 : x
  2. Step 2: Convert to fraction form
    7,546.64/11,307.66 = 3,843.80/x
  3. Step 3: Cross multiply
    7,546.64x = 11,307.66 × 3,843.80
  4. Step 4: Simplify right side
    7,546.64x = 43,464,383.51
  5. Step 5: Solve for x
    x = 43,464,383.51/7,546.64
  6. Step 6: Final answer
    x = 5,759.44

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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.