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Finding the Fourth Proportional to 10,295.28, 14,206.35 and 5,819.03

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Solution

The fourth proportional to 10,295.28, 14,206.35 and 5,819.03 is: 8,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.28 : 14,206.35 = 5,819.03 : x
  2. Step 2: Convert to fraction form
    10,295.28/14,206.35 = 5,819.03/x
  3. Step 3: Cross multiply
    10,295.28x = 14,206.35 × 5,819.03
  4. Step 4: Simplify right side
    10,295.28x = 82,667,176.84
  5. Step 5: Solve for x
    x = 82,667,176.84/10,295.28
  6. Step 6: Final answer
    x = 8,029.62

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