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Finding the Fourth Proportional to 11,851.36, 16,354.54 and 6,546.06

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Solution

The fourth proportional to 11,851.36, 16,354.54 and 6,546.06 is: 9,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.36 : 16,354.54 = 6,546.06 : x
  2. Step 2: Convert to fraction form
    11,851.36/16,354.54 = 6,546.06/x
  3. Step 3: Cross multiply
    11,851.36x = 16,354.54 × 6,546.06
  4. Step 4: Simplify right side
    11,851.36x = 107,057,800.11
  5. Step 5: Solve for x
    x = 107,057,800.11/11,851.36
  6. Step 6: Final answer
    x = 9,033.38

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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.