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Finding the Fourth Proportional to 11,773.59, 17,660.33 and 3,008.50

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Solution

The fourth proportional to 11,773.59, 17,660.33 and 3,008.50 is: 4,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.59 : 17,660.33 = 3,008.50 : x
  2. Step 2: Convert to fraction form
    11,773.59/17,660.33 = 3,008.50/x
  3. Step 3: Cross multiply
    11,773.59x = 17,660.33 × 3,008.50
  4. Step 4: Simplify right side
    11,773.59x = 53,131,179.07
  5. Step 5: Solve for x
    x = 53,131,179.07/11,773.59
  6. Step 6: Final answer
    x = 4,512.74

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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.