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Finding the Fourth Proportional to 7,489.83, 11,220.90 and 3,783.21

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Solution

The fourth proportional to 7,489.83, 11,220.90 and 3,783.21 is: 5,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.83 : 11,220.90 = 3,783.21 : x
  2. Step 2: Convert to fraction form
    7,489.83/11,220.90 = 3,783.21/x
  3. Step 3: Cross multiply
    7,489.83x = 11,220.90 × 3,783.21
  4. Step 4: Simplify right side
    7,489.83x = 42,450,996.74
  5. Step 5: Solve for x
    x = 42,450,996.74/7,489.83
  6. Step 6: Final answer
    x = 5,667.82

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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.