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Finding the Fourth Proportional to 8,082.38, 11,149.93 and 4,725.34

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Solution

The fourth proportional to 8,082.38, 11,149.93 and 4,725.34 is: 6,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.38 : 11,149.93 = 4,725.34 : x
  2. Step 2: Convert to fraction form
    8,082.38/11,149.93 = 4,725.34/x
  3. Step 3: Cross multiply
    8,082.38x = 11,149.93 × 4,725.34
  4. Step 4: Simplify right side
    8,082.38x = 52,687,210.23
  5. Step 5: Solve for x
    x = 52,687,210.23/8,082.38
  6. Step 6: Final answer
    x = 6,518.77

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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.