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Finding the Fourth Proportional to 11,824.87, 17,743.38 and 7,156.03

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Solution

The fourth proportional to 11,824.87, 17,743.38 and 7,156.03 is: 10,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.87 : 17,743.38 = 7,156.03 : x
  2. Step 2: Convert to fraction form
    11,824.87/17,743.38 = 7,156.03/x
  3. Step 3: Cross multiply
    11,824.87x = 17,743.38 × 7,156.03
  4. Step 4: Simplify right side
    11,824.87x = 126,972,159.58
  5. Step 5: Solve for x
    x = 126,972,159.58/11,824.87
  6. Step 6: Final answer
    x = 10,737.72

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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.