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Finding the Fourth Proportional to 7,670.25, 11,508.08 and 3,777.39

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Solution

The fourth proportional to 7,670.25, 11,508.08 and 3,777.39 is: 5,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.25 : 11,508.08 = 3,777.39 : x
  2. Step 2: Convert to fraction form
    7,670.25/11,508.08 = 3,777.39/x
  3. Step 3: Cross multiply
    7,670.25x = 11,508.08 × 3,777.39
  4. Step 4: Simplify right side
    7,670.25x = 43,470,487.42
  5. Step 5: Solve for x
    x = 43,470,487.42/7,670.25
  6. Step 6: Final answer
    x = 5,667.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.