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Finding the Fourth Proportional to 11,773.68, 17,660.40 and 3,008.52

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Solution

The fourth proportional to 11,773.68, 17,660.40 and 3,008.52 is: 4,512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.68 : 17,660.40 = 3,008.52 : x
  2. Step 2: Convert to fraction form
    11,773.68/17,660.40 = 3,008.52/x
  3. Step 3: Cross multiply
    11,773.68x = 17,660.40 × 3,008.52
  4. Step 4: Simplify right side
    11,773.68x = 53,131,666.61
  5. Step 5: Solve for x
    x = 53,131,666.61/11,773.68
  6. Step 6: Final answer
    x = 4,512.75

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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.