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Finding the Fourth Proportional to 11,244, 16,866.83 and 4,318.50

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Solution

The fourth proportional to 11,244, 16,866.83 and 4,318.50 is: 6,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244 : 16,866.83 = 4,318.50 : x
  2. Step 2: Convert to fraction form
    11,244/16,866.83 = 4,318.50/x
  3. Step 3: Cross multiply
    11,244x = 16,866.83 × 4,318.50
  4. Step 4: Simplify right side
    11,244x = 72,839,383.76
  5. Step 5: Solve for x
    x = 72,839,383.76/11,244
  6. Step 6: Final answer
    x = 6,478.07

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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.