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Finding the Fourth Proportional to 7,821.82, 10,794.32 and 4,285.26

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Solution

The fourth proportional to 7,821.82, 10,794.32 and 4,285.26 is: 5,913.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.82 : 10,794.32 = 4,285.26 : x
  2. Step 2: Convert to fraction form
    7,821.82/10,794.32 = 4,285.26/x
  3. Step 3: Cross multiply
    7,821.82x = 10,794.32 × 4,285.26
  4. Step 4: Simplify right side
    7,821.82x = 46,256,467.72
  5. Step 5: Solve for x
    x = 46,256,467.72/7,821.82
  6. Step 6: Final answer
    x = 5,913.77

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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.