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Finding the Fourth Proportional to 11,340.12, 17,008.08 and 3,844.08

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Solution

The fourth proportional to 11,340.12, 17,008.08 and 3,844.08 is: 5,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.12 : 17,008.08 = 3,844.08 : x
  2. Step 2: Convert to fraction form
    11,340.12/17,008.08 = 3,844.08/x
  3. Step 3: Cross multiply
    11,340.12x = 17,008.08 × 3,844.08
  4. Step 4: Simplify right side
    11,340.12x = 65,380,420.17
  5. Step 5: Solve for x
    x = 65,380,420.17/11,340.12
  6. Step 6: Final answer
    x = 5,765.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.