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Finding the Fourth Proportional to 7,665.25, 11,502.31 and 3,222.56

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Solution

The fourth proportional to 7,665.25, 11,502.31 and 3,222.56 is: 4,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.25 : 11,502.31 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    7,665.25/11,502.31 = 3,222.56/x
  3. Step 3: Cross multiply
    7,665.25x = 11,502.31 × 3,222.56
  4. Step 4: Simplify right side
    7,665.25x = 37,066,904.81
  5. Step 5: Solve for x
    x = 37,066,904.81/7,665.25
  6. Step 6: Final answer
    x = 4,835.71

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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.