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Finding the Fourth Proportional to 11,031.84, 15,217.04 and 8,051.04

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Solution

The fourth proportional to 11,031.84, 15,217.04 and 8,051.04 is: 11,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.84 : 15,217.04 = 8,051.04 : x
  2. Step 2: Convert to fraction form
    11,031.84/15,217.04 = 8,051.04/x
  3. Step 3: Cross multiply
    11,031.84x = 15,217.04 × 8,051.04
  4. Step 4: Simplify right side
    11,031.84x = 122,512,997.72
  5. Step 5: Solve for x
    x = 122,512,997.72/11,031.84
  6. Step 6: Final answer
    x = 11,105.40

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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.