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Finding the Fourth Proportional to 11,094.13, 15,305.97 and 7,117.39

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Solution

The fourth proportional to 11,094.13, 15,305.97 and 7,117.39 is: 9,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.13 : 15,305.97 = 7,117.39 : x
  2. Step 2: Convert to fraction form
    11,094.13/15,305.97 = 7,117.39/x
  3. Step 3: Cross multiply
    11,094.13x = 15,305.97 × 7,117.39
  4. Step 4: Simplify right side
    11,094.13x = 108,938,546.24
  5. Step 5: Solve for x
    x = 108,938,546.24/11,094.13
  6. Step 6: Final answer
    x = 9,819.48

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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.