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Finding the Fourth Proportional to 11,851.12, 16,354.44 and 6,546

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Solution

The fourth proportional to 11,851.12, 16,354.44 and 6,546 is: 9,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.12 : 16,354.44 = 6,546 : x
  2. Step 2: Convert to fraction form
    11,851.12/16,354.44 = 6,546/x
  3. Step 3: Cross multiply
    11,851.12x = 16,354.44 × 6,546
  4. Step 4: Simplify right side
    11,851.12x = 107,056,164.24
  5. Step 5: Solve for x
    x = 107,056,164.24/11,851.12
  6. Step 6: Final answer
    x = 9,033.42

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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.