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Finding the Fourth Proportional to 11,898.06, 17,849.79 and 8,201.76

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Solution

The fourth proportional to 11,898.06, 17,849.79 and 8,201.76 is: 12,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.06 : 17,849.79 = 8,201.76 : x
  2. Step 2: Convert to fraction form
    11,898.06/17,849.79 = 8,201.76/x
  3. Step 3: Cross multiply
    11,898.06x = 17,849.79 × 8,201.76
  4. Step 4: Simplify right side
    11,898.06x = 146,399,693.63
  5. Step 5: Solve for x
    x = 146,399,693.63/11,898.06
  6. Step 6: Final answer
    x = 12,304.50

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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.