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Finding the Fourth Proportional to 11,893.81, 17,848.92 and 4,102.63

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Solution

The fourth proportional to 11,893.81, 17,848.92 and 4,102.63 is: 6,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.81 : 17,848.92 = 4,102.63 : x
  2. Step 2: Convert to fraction form
    11,893.81/17,848.92 = 4,102.63/x
  3. Step 3: Cross multiply
    11,893.81x = 17,848.92 × 4,102.63
  4. Step 4: Simplify right side
    11,893.81x = 73,227,514.66
  5. Step 5: Solve for x
    x = 73,227,514.66/11,893.81
  6. Step 6: Final answer
    x = 6,156.78

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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.