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Finding the Fourth Proportional to 7,861.84, 10,849.36 and 4,325.27

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Solution

The fourth proportional to 7,861.84, 10,849.36 and 4,325.27 is: 5,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.84 : 10,849.36 = 4,325.27 : x
  2. Step 2: Convert to fraction form
    7,861.84/10,849.36 = 4,325.27/x
  3. Step 3: Cross multiply
    7,861.84x = 10,849.36 × 4,325.27
  4. Step 4: Simplify right side
    7,861.84x = 46,926,389.70
  5. Step 5: Solve for x
    x = 46,926,389.70/7,861.84
  6. Step 6: Final answer
    x = 5,968.88

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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.