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Finding the Fourth Proportional to 8,541.81, 12,797.33 and 8,027.17

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Solution

The fourth proportional to 8,541.81, 12,797.33 and 8,027.17 is: 12,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.81 : 12,797.33 = 8,027.17 : x
  2. Step 2: Convert to fraction form
    8,541.81/12,797.33 = 8,027.17/x
  3. Step 3: Cross multiply
    8,541.81x = 12,797.33 × 8,027.17
  4. Step 4: Simplify right side
    8,541.81x = 102,726,271.33
  5. Step 5: Solve for x
    x = 102,726,271.33/8,541.81
  6. Step 6: Final answer
    x = 12,026.29

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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.