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Finding the Fourth Proportional to 10,674.16, 16,008.06 and 4,096.78

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Solution

The fourth proportional to 10,674.16, 16,008.06 and 4,096.78 is: 6,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.16 : 16,008.06 = 4,096.78 : x
  2. Step 2: Convert to fraction form
    10,674.16/16,008.06 = 4,096.78/x
  3. Step 3: Cross multiply
    10,674.16x = 16,008.06 × 4,096.78
  4. Step 4: Simplify right side
    10,674.16x = 65,581,500.05
  5. Step 5: Solve for x
    x = 65,581,500.05/10,674.16
  6. Step 6: Final answer
    x = 6,143.95

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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.