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Finding the Fourth Proportional to 7,614.50, 11,360.32 and 6,783.44

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Solution

The fourth proportional to 7,614.50, 11,360.32 and 6,783.44 is: 10,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.50 : 11,360.32 = 6,783.44 : x
  2. Step 2: Convert to fraction form
    7,614.50/11,360.32 = 6,783.44/x
  3. Step 3: Cross multiply
    7,614.50x = 11,360.32 × 6,783.44
  4. Step 4: Simplify right side
    7,614.50x = 77,062,049.10
  5. Step 5: Solve for x
    x = 77,062,049.10/7,614.50
  6. Step 6: Final answer
    x = 10,120.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.