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Finding the Fourth Proportional to 10,421.38, 14,382.87 and 5,944.10

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Solution

The fourth proportional to 10,421.38, 14,382.87 and 5,944.10 is: 8,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.38 : 14,382.87 = 5,944.10 : x
  2. Step 2: Convert to fraction form
    10,421.38/14,382.87 = 5,944.10/x
  3. Step 3: Cross multiply
    10,421.38x = 14,382.87 × 5,944.10
  4. Step 4: Simplify right side
    10,421.38x = 85,493,217.57
  5. Step 5: Solve for x
    x = 85,493,217.57/10,421.38
  6. Step 6: Final answer
    x = 8,203.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.