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Finding the Fourth Proportional to 7,483, 11,226.12 and 2,866

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Solution

The fourth proportional to 7,483, 11,226.12 and 2,866 is: 4,299.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483 : 11,226.12 = 2,866 : x
  2. Step 2: Convert to fraction form
    7,483/11,226.12 = 2,866/x
  3. Step 3: Cross multiply
    7,483x = 11,226.12 × 2,866
  4. Step 4: Simplify right side
    7,483x = 32,174,059.92
  5. Step 5: Solve for x
    x = 32,174,059.92/7,483
  6. Step 6: Final answer
    x = 4,299.62

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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.