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Finding the Fourth Proportional to 7,748.64, 10,678.50 and 6,067.26

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Solution

The fourth proportional to 7,748.64, 10,678.50 and 6,067.26 is: 8,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.64 : 10,678.50 = 6,067.26 : x
  2. Step 2: Convert to fraction form
    7,748.64/10,678.50 = 6,067.26/x
  3. Step 3: Cross multiply
    7,748.64x = 10,678.50 × 6,067.26
  4. Step 4: Simplify right side
    7,748.64x = 64,789,235.91
  5. Step 5: Solve for x
    x = 64,789,235.91/7,748.64
  6. Step 6: Final answer
    x = 8,361.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.