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Finding the Fourth Proportional to 7,861.70, 10,849.24 and 4,324.94

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Solution

The fourth proportional to 7,861.70, 10,849.24 and 4,324.94 is: 5,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.70 : 10,849.24 = 4,324.94 : x
  2. Step 2: Convert to fraction form
    7,861.70/10,849.24 = 4,324.94/x
  3. Step 3: Cross multiply
    7,861.70x = 10,849.24 × 4,324.94
  4. Step 4: Simplify right side
    7,861.70x = 46,922,312.05
  5. Step 5: Solve for x
    x = 46,922,312.05/7,861.70
  6. Step 6: Final answer
    x = 5,968.47

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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.