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Finding the Fourth Proportional to 10,321.96, 14,244.42 and 6,073.96

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Solution

The fourth proportional to 10,321.96, 14,244.42 and 6,073.96 is: 8,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.96 : 14,244.42 = 6,073.96 : x
  2. Step 2: Convert to fraction form
    10,321.96/14,244.42 = 6,073.96/x
  3. Step 3: Cross multiply
    10,321.96x = 14,244.42 × 6,073.96
  4. Step 4: Simplify right side
    10,321.96x = 86,520,037.30
  5. Step 5: Solve for x
    x = 86,520,037.30/10,321.96
  6. Step 6: Final answer
    x = 8,382.13

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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.