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Finding the Fourth Proportional to 7,269.38, 10,031.74 and 4,082.68

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Solution

The fourth proportional to 7,269.38, 10,031.74 and 4,082.68 is: 5,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.38 : 10,031.74 = 4,082.68 : x
  2. Step 2: Convert to fraction form
    7,269.38/10,031.74 = 4,082.68/x
  3. Step 3: Cross multiply
    7,269.38x = 10,031.74 × 4,082.68
  4. Step 4: Simplify right side
    7,269.38x = 40,956,384.26
  5. Step 5: Solve for x
    x = 40,956,384.26/7,269.38
  6. Step 6: Final answer
    x = 5,634.10

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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.