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Finding the Fourth Proportional to 7,804.23, 10,766.83 and 4,814.88

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Solution

The fourth proportional to 7,804.23, 10,766.83 and 4,814.88 is: 6,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.23 : 10,766.83 = 4,814.88 : x
  2. Step 2: Convert to fraction form
    7,804.23/10,766.83 = 4,814.88/x
  3. Step 3: Cross multiply
    7,804.23x = 10,766.83 × 4,814.88
  4. Step 4: Simplify right side
    7,804.23x = 51,840,982.39
  5. Step 5: Solve for x
    x = 51,840,982.39/7,804.23
  6. Step 6: Final answer
    x = 6,642.68

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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.