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Finding the Fourth Proportional to 7,932.88, 11,898.17 and 2,089.49

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Solution

The fourth proportional to 7,932.88, 11,898.17 and 2,089.49 is: 3,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.88 : 11,898.17 = 2,089.49 : x
  2. Step 2: Convert to fraction form
    7,932.88/11,898.17 = 2,089.49/x
  3. Step 3: Cross multiply
    7,932.88x = 11,898.17 × 2,089.49
  4. Step 4: Simplify right side
    7,932.88x = 24,861,107.23
  5. Step 5: Solve for x
    x = 24,861,107.23/7,932.88
  6. Step 6: Final answer
    x = 3,133.93

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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.