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Finding the Fourth Proportional to 7,733.94, 11,602.94 and 3,350.36

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Solution

The fourth proportional to 7,733.94, 11,602.94 and 3,350.36 is: 5,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.94 : 11,602.94 = 3,350.36 : x
  2. Step 2: Convert to fraction form
    7,733.94/11,602.94 = 3,350.36/x
  3. Step 3: Cross multiply
    7,733.94x = 11,602.94 × 3,350.36
  4. Step 4: Simplify right side
    7,733.94x = 38,873,951.29
  5. Step 5: Solve for x
    x = 38,873,951.29/7,733.94
  6. Step 6: Final answer
    x = 5,026.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.