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Finding the Fourth Proportional to 10,233, 14,121.54 and 5,817

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Solution

The fourth proportional to 10,233, 14,121.54 and 5,817 is: 8,027.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233 : 14,121.54 = 5,817 : x
  2. Step 2: Convert to fraction form
    10,233/14,121.54 = 5,817/x
  3. Step 3: Cross multiply
    10,233x = 14,121.54 × 5,817
  4. Step 4: Simplify right side
    10,233x = 82,144,998.18
  5. Step 5: Solve for x
    x = 82,144,998.18/10,233
  6. Step 6: Final answer
    x = 8,027.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.