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Finding the Fourth Proportional to 10,966.44, 16,425.06 and 8,493.78

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Solution

The fourth proportional to 10,966.44, 16,425.06 and 8,493.78 is: 12,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.44 : 16,425.06 = 8,493.78 : x
  2. Step 2: Convert to fraction form
    10,966.44/16,425.06 = 8,493.78/x
  3. Step 3: Cross multiply
    10,966.44x = 16,425.06 × 8,493.78
  4. Step 4: Simplify right side
    10,966.44x = 139,510,846.13
  5. Step 5: Solve for x
    x = 139,510,846.13/10,966.44
  6. Step 6: Final answer
    x = 12,721.62

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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.