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Finding the Fourth Proportional to 7,188.24, 10,783.43 and 3,680.24

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Solution

The fourth proportional to 7,188.24, 10,783.43 and 3,680.24 is: 5,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.24 : 10,783.43 = 3,680.24 : x
  2. Step 2: Convert to fraction form
    7,188.24/10,783.43 = 3,680.24/x
  3. Step 3: Cross multiply
    7,188.24x = 10,783.43 × 3,680.24
  4. Step 4: Simplify right side
    7,188.24x = 39,685,551.91
  5. Step 5: Solve for x
    x = 39,685,551.91/7,188.24
  6. Step 6: Final answer
    x = 5,520.90

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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.