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Finding the Fourth Proportional to 11,534.40, 17,299.44 and 6,912

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Solution

The fourth proportional to 11,534.40, 17,299.44 and 6,912 is: 10,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.40 : 17,299.44 = 6,912 : x
  2. Step 2: Convert to fraction form
    11,534.40/17,299.44 = 6,912/x
  3. Step 3: Cross multiply
    11,534.40x = 17,299.44 × 6,912
  4. Step 4: Simplify right side
    11,534.40x = 119,573,729.28
  5. Step 5: Solve for x
    x = 119,573,729.28/11,534.40
  6. Step 6: Final answer
    x = 10,366.71

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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.