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Finding the Fourth Proportional to 7,674.50, 10,586.49 and 5,021.30

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Solution

The fourth proportional to 7,674.50, 10,586.49 and 5,021.30 is: 6,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.50 : 10,586.49 = 5,021.30 : x
  2. Step 2: Convert to fraction form
    7,674.50/10,586.49 = 5,021.30/x
  3. Step 3: Cross multiply
    7,674.50x = 10,586.49 × 5,021.30
  4. Step 4: Simplify right side
    7,674.50x = 53,157,942.24
  5. Step 5: Solve for x
    x = 53,157,942.24/7,674.50
  6. Step 6: Final answer
    x = 6,926.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.