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Finding the Fourth Proportional to 4,715.77, 7,067.72 and 4,129.37

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Solution

The fourth proportional to 4,715.77, 7,067.72 and 4,129.37 is: 6,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.77 : 7,067.72 = 4,129.37 : x
  2. Step 2: Convert to fraction form
    4,715.77/7,067.72 = 4,129.37/x
  3. Step 3: Cross multiply
    4,715.77x = 7,067.72 × 4,129.37
  4. Step 4: Simplify right side
    4,715.77x = 29,185,258.93
  5. Step 5: Solve for x
    x = 29,185,258.93/4,715.77
  6. Step 6: Final answer
    x = 6,188.87

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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.