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Finding the Fourth Proportional to 12,775.44, 19,164.24 and 4,008

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Solution

The fourth proportional to 12,775.44, 19,164.24 and 4,008 is: 6,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.44 : 19,164.24 = 4,008 : x
  2. Step 2: Convert to fraction form
    12,775.44/19,164.24 = 4,008/x
  3. Step 3: Cross multiply
    12,775.44x = 19,164.24 × 4,008
  4. Step 4: Simplify right side
    12,775.44x = 76,810,273.92
  5. Step 5: Solve for x
    x = 76,810,273.92/12,775.44
  6. Step 6: Final answer
    x = 6,012.34

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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.