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Finding the Fourth Proportional to 11,504.23, 15,853.87 and 9,910.37

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Solution

The fourth proportional to 11,504.23, 15,853.87 and 9,910.37 is: 13,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.23 : 15,853.87 = 9,910.37 : x
  2. Step 2: Convert to fraction form
    11,504.23/15,853.87 = 9,910.37/x
  3. Step 3: Cross multiply
    11,504.23x = 15,853.87 × 9,910.37
  4. Step 4: Simplify right side
    11,504.23x = 157,117,668.08
  5. Step 5: Solve for x
    x = 157,117,668.08/11,504.23
  6. Step 6: Final answer
    x = 13,657.39

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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.