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Finding the Fourth Proportional to 10,295.38, 14,206.09 and 5,819.10

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Solution

The fourth proportional to 10,295.38, 14,206.09 and 5,819.10 is: 8,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.38 : 14,206.09 = 5,819.10 : x
  2. Step 2: Convert to fraction form
    10,295.38/14,206.09 = 5,819.10/x
  3. Step 3: Cross multiply
    10,295.38x = 14,206.09 × 5,819.10
  4. Step 4: Simplify right side
    10,295.38x = 82,666,658.32
  5. Step 5: Solve for x
    x = 82,666,658.32/10,295.38
  6. Step 6: Final answer
    x = 8,029.49

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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.