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Finding the Fourth Proportional to 11,643.98, 17,469.62 and 7,488.68

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Solution

The fourth proportional to 11,643.98, 17,469.62 and 7,488.68 is: 11,235.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.98 : 17,469.62 = 7,488.68 : x
  2. Step 2: Convert to fraction form
    11,643.98/17,469.62 = 7,488.68/x
  3. Step 3: Cross multiply
    11,643.98x = 17,469.62 × 7,488.68
  4. Step 4: Simplify right side
    11,643.98x = 130,824,393.90
  5. Step 5: Solve for x
    x = 130,824,393.90/11,643.98
  6. Step 6: Final answer
    x = 11,235.37

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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.