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Finding the Fourth Proportional to 7,102.82, 9,795.52 and 4,450.52

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Solution

The fourth proportional to 7,102.82, 9,795.52 and 4,450.52 is: 6,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.82 : 9,795.52 = 4,450.52 : x
  2. Step 2: Convert to fraction form
    7,102.82/9,795.52 = 4,450.52/x
  3. Step 3: Cross multiply
    7,102.82x = 9,795.52 × 4,450.52
  4. Step 4: Simplify right side
    7,102.82x = 43,595,157.67
  5. Step 5: Solve for x
    x = 43,595,157.67/7,102.82
  6. Step 6: Final answer
    x = 6,137.73

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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.