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Finding the Fourth Proportional to 7,493.01, 11,230.07 and 3,796.17

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Solution

The fourth proportional to 7,493.01, 11,230.07 and 3,796.17 is: 5,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.01 : 11,230.07 = 3,796.17 : x
  2. Step 2: Convert to fraction form
    7,493.01/11,230.07 = 3,796.17/x
  3. Step 3: Cross multiply
    7,493.01x = 11,230.07 × 3,796.17
  4. Step 4: Simplify right side
    7,493.01x = 42,631,235.85
  5. Step 5: Solve for x
    x = 42,631,235.85/7,493.01
  6. Step 6: Final answer
    x = 5,689.47

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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.