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Finding the Fourth Proportional to 8,354.38, 11,529.04 and 4,997.33

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Solution

The fourth proportional to 8,354.38, 11,529.04 and 4,997.33 is: 6,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.38 : 11,529.04 = 4,997.33 : x
  2. Step 2: Convert to fraction form
    8,354.38/11,529.04 = 4,997.33/x
  3. Step 3: Cross multiply
    8,354.38x = 11,529.04 × 4,997.33
  4. Step 4: Simplify right side
    8,354.38x = 57,614,417.46
  5. Step 5: Solve for x
    x = 57,614,417.46/8,354.38
  6. Step 6: Final answer
    x = 6,896.32

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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.