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Finding the Fourth Proportional to 11,152.64, 16,727.42 and 6,164.23

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Solution

The fourth proportional to 11,152.64, 16,727.42 and 6,164.23 is: 9,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.64 : 16,727.42 = 6,164.23 : x
  2. Step 2: Convert to fraction form
    11,152.64/16,727.42 = 6,164.23/x
  3. Step 3: Cross multiply
    11,152.64x = 16,727.42 × 6,164.23
  4. Step 4: Simplify right side
    11,152.64x = 103,111,591.55
  5. Step 5: Solve for x
    x = 103,111,591.55/11,152.64
  6. Step 6: Final answer
    x = 9,245.49

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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.