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Finding the Fourth Proportional to 11,734.97, 16,196.36 and 7,487.31

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Solution

The fourth proportional to 11,734.97, 16,196.36 and 7,487.31 is: 10,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.97 : 16,196.36 = 7,487.31 : x
  2. Step 2: Convert to fraction form
    11,734.97/16,196.36 = 7,487.31/x
  3. Step 3: Cross multiply
    11,734.97x = 16,196.36 × 7,487.31
  4. Step 4: Simplify right side
    11,734.97x = 121,267,130.76
  5. Step 5: Solve for x
    x = 121,267,130.76/11,734.97
  6. Step 6: Final answer
    x = 10,333.82

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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.