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Finding the Fourth Proportional to 27,378.14, 41,067.27 and 7,656.66

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Solution

The fourth proportional to 27,378.14, 41,067.27 and 7,656.66 is: 11,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378.14 : 41,067.27 = 7,656.66 : x
  2. Step 2: Convert to fraction form
    27,378.14/41,067.27 = 7,656.66/x
  3. Step 3: Cross multiply
    27,378.14x = 41,067.27 × 7,656.66
  4. Step 4: Simplify right side
    27,378.14x = 314,438,123.52
  5. Step 5: Solve for x
    x = 314,438,123.52/27,378.14
  6. Step 6: Final answer
    x = 11,485.01

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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.