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Finding the Fourth Proportional to 10,833, 16,221.36 and 9,282.96

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Solution

The fourth proportional to 10,833, 16,221.36 and 9,282.96 is: 13,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833 : 16,221.36 = 9,282.96 : x
  2. Step 2: Convert to fraction form
    10,833/16,221.36 = 9,282.96/x
  3. Step 3: Cross multiply
    10,833x = 16,221.36 × 9,282.96
  4. Step 4: Simplify right side
    10,833x = 150,582,236.03
  5. Step 5: Solve for x
    x = 150,582,236.03/10,833
  6. Step 6: Final answer
    x = 13,900.33

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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.