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Finding the Fourth Proportional to 10,697.68, 16,048.11 and 3,679.50

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Solution

The fourth proportional to 10,697.68, 16,048.11 and 3,679.50 is: 5,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.68 : 16,048.11 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    10,697.68/16,048.11 = 3,679.50/x
  3. Step 3: Cross multiply
    10,697.68x = 16,048.11 × 3,679.50
  4. Step 4: Simplify right side
    10,697.68x = 59,049,020.75
  5. Step 5: Solve for x
    x = 59,049,020.75/10,697.68
  6. Step 6: Final answer
    x = 5,519.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.