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Finding the Fourth Proportional to 11,998.00, 17,998.52 and 4,102.03

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Solution

The fourth proportional to 11,998.00, 17,998.52 and 4,102.03 is: 6,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.00 : 17,998.52 = 4,102.03 : x
  2. Step 2: Convert to fraction form
    11,998.00/17,998.52 = 4,102.03/x
  3. Step 3: Cross multiply
    11,998.00x = 17,998.52 × 4,102.03
  4. Step 4: Simplify right side
    11,998.00x = 73,830,403.49
  5. Step 5: Solve for x
    x = 73,830,403.49/11,998.00
  6. Step 6: Final answer
    x = 6,153.56

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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.