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Finding the Fourth Proportional to 11,757.44, 17,643.03 and 4,367.00

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Solution

The fourth proportional to 11,757.44, 17,643.03 and 4,367.00 is: 6,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.44 : 17,643.03 = 4,367.00 : x
  2. Step 2: Convert to fraction form
    11,757.44/17,643.03 = 4,367.00/x
  3. Step 3: Cross multiply
    11,757.44x = 17,643.03 × 4,367.00
  4. Step 4: Simplify right side
    11,757.44x = 77,047,023.79
  5. Step 5: Solve for x
    x = 77,047,023.79/11,757.44
  6. Step 6: Final answer
    x = 6,553.05

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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.