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Finding the Fourth Proportional to 11,900.28, 17,830.94 and 7,221.72

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Solution

The fourth proportional to 11,900.28, 17,830.94 and 7,221.72 is: 10,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900.28 : 17,830.94 = 7,221.72 : x
  2. Step 2: Convert to fraction form
    11,900.28/17,830.94 = 7,221.72/x
  3. Step 3: Cross multiply
    11,900.28x = 17,830.94 × 7,221.72
  4. Step 4: Simplify right side
    11,900.28x = 128,770,056.02
  5. Step 5: Solve for x
    x = 128,770,056.02/11,900.28
  6. Step 6: Final answer
    x = 10,820.76

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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.