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Finding the Fourth Proportional to 11,175.39, 15,419.03 and 7,195.05

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Solution

The fourth proportional to 11,175.39, 15,419.03 and 7,195.05 is: 9,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.39 : 15,419.03 = 7,195.05 : x
  2. Step 2: Convert to fraction form
    11,175.39/15,419.03 = 7,195.05/x
  3. Step 3: Cross multiply
    11,175.39x = 15,419.03 × 7,195.05
  4. Step 4: Simplify right side
    11,175.39x = 110,940,655.83
  5. Step 5: Solve for x
    x = 110,940,655.83/11,175.39
  6. Step 6: Final answer
    x = 9,927.23

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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.