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Finding the Fourth Proportional to 10,828.65, 14,910.23 and 9,231.74

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Solution

The fourth proportional to 10,828.65, 14,910.23 and 9,231.74 is: 12,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,828.65 : 14,910.23 = 9,231.74 : x
  2. Step 2: Convert to fraction form
    10,828.65/14,910.23 = 9,231.74/x
  3. Step 3: Cross multiply
    10,828.65x = 14,910.23 × 9,231.74
  4. Step 4: Simplify right side
    10,828.65x = 137,647,245.99
  5. Step 5: Solve for x
    x = 137,647,245.99/10,828.65
  6. Step 6: Final answer
    x = 12,711.39

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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.