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Finding the Fourth Proportional to 10,192.67, 14,065.91 and 5,946.65

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Solution

The fourth proportional to 10,192.67, 14,065.91 and 5,946.65 is: 8,206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.67 : 14,065.91 = 5,946.65 : x
  2. Step 2: Convert to fraction form
    10,192.67/14,065.91 = 5,946.65/x
  3. Step 3: Cross multiply
    10,192.67x = 14,065.91 × 5,946.65
  4. Step 4: Simplify right side
    10,192.67x = 83,645,093.73
  5. Step 5: Solve for x
    x = 83,645,093.73/10,192.67
  6. Step 6: Final answer
    x = 8,206.39

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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.