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Finding the Fourth Proportional to 10,296.52, 14,208.69 and 5,819.39

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Solution

The fourth proportional to 10,296.52, 14,208.69 and 5,819.39 is: 8,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.52 : 14,208.69 = 5,819.39 : x
  2. Step 2: Convert to fraction form
    10,296.52/14,208.69 = 5,819.39/x
  3. Step 3: Cross multiply
    10,296.52x = 14,208.69 × 5,819.39
  4. Step 4: Simplify right side
    10,296.52x = 82,685,976.12
  5. Step 5: Solve for x
    x = 82,685,976.12/10,296.52
  6. Step 6: Final answer
    x = 8,030.48

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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.