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Finding the Fourth Proportional to 7,804.11, 10,770.39 and 4,660.23

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Solution

The fourth proportional to 7,804.11, 10,770.39 and 4,660.23 is: 6,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.11 : 10,770.39 = 4,660.23 : x
  2. Step 2: Convert to fraction form
    7,804.11/10,770.39 = 4,660.23/x
  3. Step 3: Cross multiply
    7,804.11x = 10,770.39 × 4,660.23
  4. Step 4: Simplify right side
    7,804.11x = 50,192,494.59
  5. Step 5: Solve for x
    x = 50,192,494.59/7,804.11
  6. Step 6: Final answer
    x = 6,431.55

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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.