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Finding the Fourth Proportional to 11,968.61, 16,516.04 and 6,932.43

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Solution

The fourth proportional to 11,968.61, 16,516.04 and 6,932.43 is: 9,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.61 : 16,516.04 = 6,932.43 : x
  2. Step 2: Convert to fraction form
    11,968.61/16,516.04 = 6,932.43/x
  3. Step 3: Cross multiply
    11,968.61x = 16,516.04 × 6,932.43
  4. Step 4: Simplify right side
    11,968.61x = 114,496,256.52
  5. Step 5: Solve for x
    x = 114,496,256.52/11,968.61
  6. Step 6: Final answer
    x = 9,566.38

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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.