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Finding the Fourth Proportional to 11,164.98, 16,742.54 and 3,371.96

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Solution

The fourth proportional to 11,164.98, 16,742.54 and 3,371.96 is: 5,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.98 : 16,742.54 = 3,371.96 : x
  2. Step 2: Convert to fraction form
    11,164.98/16,742.54 = 3,371.96/x
  3. Step 3: Cross multiply
    11,164.98x = 16,742.54 × 3,371.96
  4. Step 4: Simplify right side
    11,164.98x = 56,455,175.18
  5. Step 5: Solve for x
    x = 56,455,175.18/11,164.98
  6. Step 6: Final answer
    x = 5,056.45

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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.