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Finding the Fourth Proportional to 7,932.43, 11,899.23 and 2,089

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Solution

The fourth proportional to 7,932.43, 11,899.23 and 2,089 is: 3,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.43 : 11,899.23 = 2,089 : x
  2. Step 2: Convert to fraction form
    7,932.43/11,899.23 = 2,089/x
  3. Step 3: Cross multiply
    7,932.43x = 11,899.23 × 2,089
  4. Step 4: Simplify right side
    7,932.43x = 24,857,491.47
  5. Step 5: Solve for x
    x = 24,857,491.47/7,932.43
  6. Step 6: Final answer
    x = 3,133.65

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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.