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Finding the Fourth Proportional to 11,745, 16,209.54 and 6,777

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Solution

The fourth proportional to 11,745, 16,209.54 and 6,777 is: 9,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 16,209.54 = 6,777 : x
  2. Step 2: Convert to fraction form
    11,745/16,209.54 = 6,777/x
  3. Step 3: Cross multiply
    11,745x = 16,209.54 × 6,777
  4. Step 4: Simplify right side
    11,745x = 109,852,052.58
  5. Step 5: Solve for x
    x = 109,852,052.58/11,745
  6. Step 6: Final answer
    x = 9,353.09

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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.