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Finding the Fourth Proportional to 8,571.34, 12,858.16 and 3,023.38

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Solution

The fourth proportional to 8,571.34, 12,858.16 and 3,023.38 is: 4,535.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.34 : 12,858.16 = 3,023.38 : x
  2. Step 2: Convert to fraction form
    8,571.34/12,858.16 = 3,023.38/x
  3. Step 3: Cross multiply
    8,571.34x = 12,858.16 × 3,023.38
  4. Step 4: Simplify right side
    8,571.34x = 38,875,103.78
  5. Step 5: Solve for x
    x = 38,875,103.78/8,571.34
  6. Step 6: Final answer
    x = 4,535.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.