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Finding the Fourth Proportional to 11,765.86, 17,644.87 and 4,744.06

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Solution

The fourth proportional to 11,765.86, 17,644.87 and 4,744.06 is: 7,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.86 : 17,644.87 = 4,744.06 : x
  2. Step 2: Convert to fraction form
    11,765.86/17,644.87 = 4,744.06/x
  3. Step 3: Cross multiply
    11,765.86x = 17,644.87 × 4,744.06
  4. Step 4: Simplify right side
    11,765.86x = 83,708,283.79
  5. Step 5: Solve for x
    x = 83,708,283.79/11,765.86
  6. Step 6: Final answer
    x = 7,114.51

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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.