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Finding the Fourth Proportional to 11,416.32, 15,725.21 and 8,053.22

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Solution

The fourth proportional to 11,416.32, 15,725.21 and 8,053.22 is: 11,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.32 : 15,725.21 = 8,053.22 : x
  2. Step 2: Convert to fraction form
    11,416.32/15,725.21 = 8,053.22/x
  3. Step 3: Cross multiply
    11,416.32x = 15,725.21 × 8,053.22
  4. Step 4: Simplify right side
    11,416.32x = 126,638,456.78
  5. Step 5: Solve for x
    x = 126,638,456.78/11,416.32
  6. Step 6: Final answer
    x = 11,092.76

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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.