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Finding the Fourth Proportional to 11,270.52, 16,881.16 and 6,874.64

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Solution

The fourth proportional to 11,270.52, 16,881.16 and 6,874.64 is: 10,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.52 : 16,881.16 = 6,874.64 : x
  2. Step 2: Convert to fraction form
    11,270.52/16,881.16 = 6,874.64/x
  3. Step 3: Cross multiply
    11,270.52x = 16,881.16 × 6,874.64
  4. Step 4: Simplify right side
    11,270.52x = 116,051,897.78
  5. Step 5: Solve for x
    x = 116,051,897.78/11,270.52
  6. Step 6: Final answer
    x = 10,296.94

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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.