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Finding the Fourth Proportional to 7,670.50, 11,508.45 and 3,777.64

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Solution

The fourth proportional to 7,670.50, 11,508.45 and 3,777.64 is: 5,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.50 : 11,508.45 = 3,777.64 : x
  2. Step 2: Convert to fraction form
    7,670.50/11,508.45 = 3,777.64/x
  3. Step 3: Cross multiply
    7,670.50x = 11,508.45 × 3,777.64
  4. Step 4: Simplify right side
    7,670.50x = 43,474,781.06
  5. Step 5: Solve for x
    x = 43,474,781.06/7,670.50
  6. Step 6: Final answer
    x = 5,667.79

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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.