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Finding the Fourth Proportional to 7,227.58, 10,859.64 and 6,935.98

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Solution

The fourth proportional to 7,227.58, 10,859.64 and 6,935.98 is: 10,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.58 : 10,859.64 = 6,935.98 : x
  2. Step 2: Convert to fraction form
    7,227.58/10,859.64 = 6,935.98/x
  3. Step 3: Cross multiply
    7,227.58x = 10,859.64 × 6,935.98
  4. Step 4: Simplify right side
    7,227.58x = 75,322,245.85
  5. Step 5: Solve for x
    x = 75,322,245.85/7,227.58
  6. Step 6: Final answer
    x = 10,421.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.