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Finding the Fourth Proportional to 7,670.16, 11,494.31 and 3,777.30

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Solution

The fourth proportional to 7,670.16, 11,494.31 and 3,777.30 is: 5,660.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.16 : 11,494.31 = 3,777.30 : x
  2. Step 2: Convert to fraction form
    7,670.16/11,494.31 = 3,777.30/x
  3. Step 3: Cross multiply
    7,670.16x = 11,494.31 × 3,777.30
  4. Step 4: Simplify right side
    7,670.16x = 43,417,438.28
  5. Step 5: Solve for x
    x = 43,417,438.28/7,670.16
  6. Step 6: Final answer
    x = 5,660.56

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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.