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Finding the Fourth Proportional to 10,953.99, 16,440.12 and 6,446.97

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Solution

The fourth proportional to 10,953.99, 16,440.12 and 6,446.97 is: 9,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.99 : 16,440.12 = 6,446.97 : x
  2. Step 2: Convert to fraction form
    10,953.99/16,440.12 = 6,446.97/x
  3. Step 3: Cross multiply
    10,953.99x = 16,440.12 × 6,446.97
  4. Step 4: Simplify right side
    10,953.99x = 105,988,960.44
  5. Step 5: Solve for x
    x = 105,988,960.44/10,953.99
  6. Step 6: Final answer
    x = 9,675.83

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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.