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Finding the Fourth Proportional to 8,383.57, 11,570.33 and 5,028.23

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Solution

The fourth proportional to 8,383.57, 11,570.33 and 5,028.23 is: 6,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.57 : 11,570.33 = 5,028.23 : x
  2. Step 2: Convert to fraction form
    8,383.57/11,570.33 = 5,028.23/x
  3. Step 3: Cross multiply
    8,383.57x = 11,570.33 × 5,028.23
  4. Step 4: Simplify right side
    8,383.57x = 58,178,280.42
  5. Step 5: Solve for x
    x = 58,178,280.42/8,383.57
  6. Step 6: Final answer
    x = 6,939.56

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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.