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Finding the Fourth Proportional to 7,821.68, 11,673.77 and 6,762.82

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Solution

The fourth proportional to 7,821.68, 11,673.77 and 6,762.82 is: 10,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.68 : 11,673.77 = 6,762.82 : x
  2. Step 2: Convert to fraction form
    7,821.68/11,673.77 = 6,762.82/x
  3. Step 3: Cross multiply
    7,821.68x = 11,673.77 × 6,762.82
  4. Step 4: Simplify right side
    7,821.68x = 78,947,622.14
  5. Step 5: Solve for x
    x = 78,947,622.14/7,821.68
  6. Step 6: Final answer
    x = 10,093.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.