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Finding the Fourth Proportional to 7,584.62, 11,378.73 and 2,390.49

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Solution

The fourth proportional to 7,584.62, 11,378.73 and 2,390.49 is: 3,586.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.62 : 11,378.73 = 2,390.49 : x
  2. Step 2: Convert to fraction form
    7,584.62/11,378.73 = 2,390.49/x
  3. Step 3: Cross multiply
    7,584.62x = 11,378.73 × 2,390.49
  4. Step 4: Simplify right side
    7,584.62x = 27,200,749.24
  5. Step 5: Solve for x
    x = 27,200,749.24/7,584.62
  6. Step 6: Final answer
    x = 3,586.31

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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.