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Finding the Fourth Proportional to 10,892.46, 16,340.98 and 3,497.42

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Solution

The fourth proportional to 10,892.46, 16,340.98 and 3,497.42 is: 5,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.46 : 16,340.98 = 3,497.42 : x
  2. Step 2: Convert to fraction form
    10,892.46/16,340.98 = 3,497.42/x
  3. Step 3: Cross multiply
    10,892.46x = 16,340.98 × 3,497.42
  4. Step 4: Simplify right side
    10,892.46x = 57,151,270.27
  5. Step 5: Solve for x
    x = 57,151,270.27/10,892.46
  6. Step 6: Final answer
    x = 5,246.87

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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.