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Finding the Fourth Proportional to 7,889.36, 11,825.64 and 5,935.52

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Solution

The fourth proportional to 7,889.36, 11,825.64 and 5,935.52 is: 8,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.36 : 11,825.64 = 5,935.52 : x
  2. Step 2: Convert to fraction form
    7,889.36/11,825.64 = 5,935.52/x
  3. Step 3: Cross multiply
    7,889.36x = 11,825.64 × 5,935.52
  4. Step 4: Simplify right side
    7,889.36x = 70,191,322.73
  5. Step 5: Solve for x
    x = 70,191,322.73/7,889.36
  6. Step 6: Final answer
    x = 8,896.96

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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.