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Finding the Fourth Proportional to 7,673.27, 11,507.46 and 3,777.17

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Solution

The fourth proportional to 7,673.27, 11,507.46 and 3,777.17 is: 5,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.27 : 11,507.46 = 3,777.17 : x
  2. Step 2: Convert to fraction form
    7,673.27/11,507.46 = 3,777.17/x
  3. Step 3: Cross multiply
    7,673.27x = 11,507.46 × 3,777.17
  4. Step 4: Simplify right side
    7,673.27x = 43,465,632.69
  5. Step 5: Solve for x
    x = 43,465,632.69/7,673.27
  6. Step 6: Final answer
    x = 5,664.55

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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.