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Finding the Fourth Proportional to 10,672.96, 16,020.96 and 6,519.52

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Solution

The fourth proportional to 10,672.96, 16,020.96 and 6,519.52 is: 9,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.96 : 16,020.96 = 6,519.52 : x
  2. Step 2: Convert to fraction form
    10,672.96/16,020.96 = 6,519.52/x
  3. Step 3: Cross multiply
    10,672.96x = 16,020.96 × 6,519.52
  4. Step 4: Simplify right side
    10,672.96x = 104,448,969.14
  5. Step 5: Solve for x
    x = 104,448,969.14/10,672.96
  6. Step 6: Final answer
    x = 9,786.32

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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.