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Finding the Fourth Proportional to 7,670.72, 11,495.28 and 3,500.48

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Solution

The fourth proportional to 7,670.72, 11,495.28 and 3,500.48 is: 5,245.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.72 : 11,495.28 = 3,500.48 : x
  2. Step 2: Convert to fraction form
    7,670.72/11,495.28 = 3,500.48/x
  3. Step 3: Cross multiply
    7,670.72x = 11,495.28 × 3,500.48
  4. Step 4: Simplify right side
    7,670.72x = 40,238,997.73
  5. Step 5: Solve for x
    x = 40,238,997.73/7,670.72
  6. Step 6: Final answer
    x = 5,245.79

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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.