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Finding the Fourth Proportional to 11,684.91, 17,513.40 and 6,934.42

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Solution

The fourth proportional to 11,684.91, 17,513.40 and 6,934.42 is: 10,393.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.91 : 17,513.40 = 6,934.42 : x
  2. Step 2: Convert to fraction form
    11,684.91/17,513.40 = 6,934.42/x
  3. Step 3: Cross multiply
    11,684.91x = 17,513.40 × 6,934.42
  4. Step 4: Simplify right side
    11,684.91x = 121,445,181.60
  5. Step 5: Solve for x
    x = 121,445,181.60/11,684.91
  6. Step 6: Final answer
    x = 10,393.33

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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.