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Finding the Fourth Proportional to 11,874.90, 16,388.28 and 6,571.38

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Solution

The fourth proportional to 11,874.90, 16,388.28 and 6,571.38 is: 9,069.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.90 : 16,388.28 = 6,571.38 : x
  2. Step 2: Convert to fraction form
    11,874.90/16,388.28 = 6,571.38/x
  3. Step 3: Cross multiply
    11,874.90x = 16,388.28 × 6,571.38
  4. Step 4: Simplify right side
    11,874.90x = 107,693,615.43
  5. Step 5: Solve for x
    x = 107,693,615.43/11,874.90
  6. Step 6: Final answer
    x = 9,069.01

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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.