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Finding the Fourth Proportional to 10,873.69, 16,313.27 and 3,082.50

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Solution

The fourth proportional to 10,873.69, 16,313.27 and 3,082.50 is: 4,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.69 : 16,313.27 = 3,082.50 : x
  2. Step 2: Convert to fraction form
    10,873.69/16,313.27 = 3,082.50/x
  3. Step 3: Cross multiply
    10,873.69x = 16,313.27 × 3,082.50
  4. Step 4: Simplify right side
    10,873.69x = 50,285,639.36
  5. Step 5: Solve for x
    x = 50,285,639.36/10,873.69
  6. Step 6: Final answer
    x = 4,624.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.