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Finding the Fourth Proportional to 10,773.41, 16,146.14 and 4,917.11

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Solution

The fourth proportional to 10,773.41, 16,146.14 and 4,917.11 is: 7,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.41 : 16,146.14 = 4,917.11 : x
  2. Step 2: Convert to fraction form
    10,773.41/16,146.14 = 4,917.11/x
  3. Step 3: Cross multiply
    10,773.41x = 16,146.14 × 4,917.11
  4. Step 4: Simplify right side
    10,773.41x = 79,392,241.14
  5. Step 5: Solve for x
    x = 79,392,241.14/10,773.41
  6. Step 6: Final answer
    x = 7,369.28

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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.