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Finding the Fourth Proportional to 8,022.56, 12,026.16 and 4,372

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Solution

The fourth proportional to 8,022.56, 12,026.16 and 4,372 is: 6,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,022.56 : 12,026.16 = 4,372 : x
  2. Step 2: Convert to fraction form
    8,022.56/12,026.16 = 4,372/x
  3. Step 3: Cross multiply
    8,022.56x = 12,026.16 × 4,372
  4. Step 4: Simplify right side
    8,022.56x = 52,578,371.52
  5. Step 5: Solve for x
    x = 52,578,371.52/8,022.56
  6. Step 6: Final answer
    x = 6,553.81

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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.