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Finding the Fourth Proportional to 11,729.89, 17,597.47 and 3,938.50

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Solution

The fourth proportional to 11,729.89, 17,597.47 and 3,938.50 is: 5,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.89 : 17,597.47 = 3,938.50 : x
  2. Step 2: Convert to fraction form
    11,729.89/17,597.47 = 3,938.50/x
  3. Step 3: Cross multiply
    11,729.89x = 17,597.47 × 3,938.50
  4. Step 4: Simplify right side
    11,729.89x = 69,307,635.60
  5. Step 5: Solve for x
    x = 69,307,635.60/11,729.89
  6. Step 6: Final answer
    x = 5,908.63

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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.