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Finding the Fourth Proportional to 6,932.58, 10,400.86 and 3,237

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Solution

The fourth proportional to 6,932.58, 10,400.86 and 3,237 is: 4,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.58 : 10,400.86 = 3,237 : x
  2. Step 2: Convert to fraction form
    6,932.58/10,400.86 = 3,237/x
  3. Step 3: Cross multiply
    6,932.58x = 10,400.86 × 3,237
  4. Step 4: Simplify right side
    6,932.58x = 33,667,583.82
  5. Step 5: Solve for x
    x = 33,667,583.82/6,932.58
  6. Step 6: Final answer
    x = 4,856.43

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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.