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Finding the Fourth Proportional to 10,471.88, 14,452.02 and 5,997.04

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Solution

The fourth proportional to 10,471.88, 14,452.02 and 5,997.04 is: 8,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.88 : 14,452.02 = 5,997.04 : x
  2. Step 2: Convert to fraction form
    10,471.88/14,452.02 = 5,997.04/x
  3. Step 3: Cross multiply
    10,471.88x = 14,452.02 × 5,997.04
  4. Step 4: Simplify right side
    10,471.88x = 86,669,342.02
  5. Step 5: Solve for x
    x = 86,669,342.02/10,471.88
  6. Step 6: Final answer
    x = 8,276.39

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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.