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Finding the Fourth Proportional to 11,164, 15,406.32 and 6,196.96

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Solution

The fourth proportional to 11,164, 15,406.32 and 6,196.96 is: 8,551.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164 : 15,406.32 = 6,196.96 : x
  2. Step 2: Convert to fraction form
    11,164/15,406.32 = 6,196.96/x
  3. Step 3: Cross multiply
    11,164x = 15,406.32 × 6,196.96
  4. Step 4: Simplify right side
    11,164x = 95,472,348.79
  5. Step 5: Solve for x
    x = 95,472,348.79/11,164
  6. Step 6: Final answer
    x = 8,551.80

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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.