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Finding the Fourth Proportional to 10,225.70, 15,338.54 and 2,729.27

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Solution

The fourth proportional to 10,225.70, 15,338.54 and 2,729.27 is: 4,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.70 : 15,338.54 = 2,729.27 : x
  2. Step 2: Convert to fraction form
    10,225.70/15,338.54 = 2,729.27/x
  3. Step 3: Cross multiply
    10,225.70x = 15,338.54 × 2,729.27
  4. Step 4: Simplify right side
    10,225.70x = 41,862,926.73
  5. Step 5: Solve for x
    x = 41,862,926.73/10,225.70
  6. Step 6: Final answer
    x = 4,093.90

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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.