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Finding the Fourth Proportional to 11,609.43, 17,415.08 and 6,961.16

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Solution

The fourth proportional to 11,609.43, 17,415.08 and 6,961.16 is: 10,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.43 : 17,415.08 = 6,961.16 : x
  2. Step 2: Convert to fraction form
    11,609.43/17,415.08 = 6,961.16/x
  3. Step 3: Cross multiply
    11,609.43x = 17,415.08 × 6,961.16
  4. Step 4: Simplify right side
    11,609.43x = 121,229,036.41
  5. Step 5: Solve for x
    x = 121,229,036.41/11,609.43
  6. Step 6: Final answer
    x = 10,442.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.