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Finding the Fourth Proportional to 11,755.56, 17,634.03 and 4,734.48

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Solution

The fourth proportional to 11,755.56, 17,634.03 and 4,734.48 is: 7,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.56 : 17,634.03 = 4,734.48 : x
  2. Step 2: Convert to fraction form
    11,755.56/17,634.03 = 4,734.48/x
  3. Step 3: Cross multiply
    11,755.56x = 17,634.03 × 4,734.48
  4. Step 4: Simplify right side
    11,755.56x = 83,487,962.35
  5. Step 5: Solve for x
    x = 83,487,962.35/11,755.56
  6. Step 6: Final answer
    x = 7,102.00

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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.