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Finding the Fourth Proportional to 7,873.14, 10,861.83 and 4,515.24

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Solution

The fourth proportional to 7,873.14, 10,861.83 and 4,515.24 is: 6,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.14 : 10,861.83 = 4,515.24 : x
  2. Step 2: Convert to fraction form
    7,873.14/10,861.83 = 4,515.24/x
  3. Step 3: Cross multiply
    7,873.14x = 10,861.83 × 4,515.24
  4. Step 4: Simplify right side
    7,873.14x = 49,043,769.29
  5. Step 5: Solve for x
    x = 49,043,769.29/7,873.14
  6. Step 6: Final answer
    x = 6,229.25

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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.