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Finding the Fourth Proportional to 11,274.92, 15,559.22 and 6,238.76

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Solution

The fourth proportional to 11,274.92, 15,559.22 and 6,238.76 is: 8,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.92 : 15,559.22 = 6,238.76 : x
  2. Step 2: Convert to fraction form
    11,274.92/15,559.22 = 6,238.76/x
  3. Step 3: Cross multiply
    11,274.92x = 15,559.22 × 6,238.76
  4. Step 4: Simplify right side
    11,274.92x = 97,070,239.37
  5. Step 5: Solve for x
    x = 97,070,239.37/11,274.92
  6. Step 6: Final answer
    x = 8,609.39

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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.