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Finding the Fourth Proportional to 11,643.14, 17,469.84 and 6,645.31

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Solution

The fourth proportional to 11,643.14, 17,469.84 and 6,645.31 is: 9,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.14 : 17,469.84 = 6,645.31 : x
  2. Step 2: Convert to fraction form
    11,643.14/17,469.84 = 6,645.31/x
  3. Step 3: Cross multiply
    11,643.14x = 17,469.84 × 6,645.31
  4. Step 4: Simplify right side
    11,643.14x = 116,092,415.10
  5. Step 5: Solve for x
    x = 116,092,415.10/11,643.14
  6. Step 6: Final answer
    x = 9,970.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.