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Finding the Fourth Proportional to 7,450.82, 10,282.44 and 4,264.64

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Solution

The fourth proportional to 7,450.82, 10,282.44 and 4,264.64 is: 5,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.82 : 10,282.44 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    7,450.82/10,282.44 = 4,264.64/x
  3. Step 3: Cross multiply
    7,450.82x = 10,282.44 × 4,264.64
  4. Step 4: Simplify right side
    7,450.82x = 43,850,904.92
  5. Step 5: Solve for x
    x = 43,850,904.92/7,450.82
  6. Step 6: Final answer
    x = 5,885.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.