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Finding the Fourth Proportional to 11,851.01, 16,354.36 and 6,816.20

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Solution

The fourth proportional to 11,851.01, 16,354.36 and 6,816.20 is: 9,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.01 : 16,354.36 = 6,816.20 : x
  2. Step 2: Convert to fraction form
    11,851.01/16,354.36 = 6,816.20/x
  3. Step 3: Cross multiply
    11,851.01x = 16,354.36 × 6,816.20
  4. Step 4: Simplify right side
    11,851.01x = 111,474,588.63
  5. Step 5: Solve for x
    x = 111,474,588.63/11,851.01
  6. Step 6: Final answer
    x = 9,406.34

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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.