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Finding the Fourth Proportional to 11,735.97, 16,197.74 and 7,488.31

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Solution

The fourth proportional to 11,735.97, 16,197.74 and 7,488.31 is: 10,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.97 : 16,197.74 = 7,488.31 : x
  2. Step 2: Convert to fraction form
    11,735.97/16,197.74 = 7,488.31/x
  3. Step 3: Cross multiply
    11,735.97x = 16,197.74 × 7,488.31
  4. Step 4: Simplify right side
    11,735.97x = 121,293,698.42
  5. Step 5: Solve for x
    x = 121,293,698.42/11,735.97
  6. Step 6: Final answer
    x = 10,335.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.