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Finding the Fourth Proportional to 11,741, 16,204.02 and 6,773

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Solution

The fourth proportional to 11,741, 16,204.02 and 6,773 is: 9,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741 : 16,204.02 = 6,773 : x
  2. Step 2: Convert to fraction form
    11,741/16,204.02 = 6,773/x
  3. Step 3: Cross multiply
    11,741x = 16,204.02 × 6,773
  4. Step 4: Simplify right side
    11,741x = 109,749,827.46
  5. Step 5: Solve for x
    x = 109,749,827.46/11,741
  6. Step 6: Final answer
    x = 9,347.57

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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.