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Finding the Fourth Proportional to 11,782.43, 17,673.22 and 2,897.80

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Solution

The fourth proportional to 11,782.43, 17,673.22 and 2,897.80 is: 4,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.43 : 17,673.22 = 2,897.80 : x
  2. Step 2: Convert to fraction form
    11,782.43/17,673.22 = 2,897.80/x
  3. Step 3: Cross multiply
    11,782.43x = 17,673.22 × 2,897.80
  4. Step 4: Simplify right side
    11,782.43x = 51,213,405.49
  5. Step 5: Solve for x
    x = 51,213,405.49/11,782.43
  6. Step 6: Final answer
    x = 4,346.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.