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Finding the Fourth Proportional to 8,438.44, 11,645.53 and 5,082.34

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Solution

The fourth proportional to 8,438.44, 11,645.53 and 5,082.34 is: 7,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.44 : 11,645.53 = 5,082.34 : x
  2. Step 2: Convert to fraction form
    8,438.44/11,645.53 = 5,082.34/x
  3. Step 3: Cross multiply
    8,438.44x = 11,645.53 × 5,082.34
  4. Step 4: Simplify right side
    8,438.44x = 59,186,542.94
  5. Step 5: Solve for x
    x = 59,186,542.94/8,438.44
  6. Step 6: Final answer
    x = 7,013.92

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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.