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Finding the Fourth Proportional to 7,732.43, 10,670.70 and 4,195.56

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Solution

The fourth proportional to 7,732.43, 10,670.70 and 4,195.56 is: 5,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.43 : 10,670.70 = 4,195.56 : x
  2. Step 2: Convert to fraction form
    7,732.43/10,670.70 = 4,195.56/x
  3. Step 3: Cross multiply
    7,732.43x = 10,670.70 × 4,195.56
  4. Step 4: Simplify right side
    7,732.43x = 44,769,562.09
  5. Step 5: Solve for x
    x = 44,769,562.09/7,732.43
  6. Step 6: Final answer
    x = 5,789.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.