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Finding the Fourth Proportional to 12,782.44, 19,167.18 and 5,851

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Solution

The fourth proportional to 12,782.44, 19,167.18 and 5,851 is: 8,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.44 : 19,167.18 = 5,851 : x
  2. Step 2: Convert to fraction form
    12,782.44/19,167.18 = 5,851/x
  3. Step 3: Cross multiply
    12,782.44x = 19,167.18 × 5,851
  4. Step 4: Simplify right side
    12,782.44x = 112,147,170.18
  5. Step 5: Solve for x
    x = 112,147,170.18/12,782.44
  6. Step 6: Final answer
    x = 8,773.53

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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.