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Finding the Fourth Proportional to 7,804.80, 10,770.62 and 4,268

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Solution

The fourth proportional to 7,804.80, 10,770.62 and 4,268 is: 5,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.80 : 10,770.62 = 4,268 : x
  2. Step 2: Convert to fraction form
    7,804.80/10,770.62 = 4,268/x
  3. Step 3: Cross multiply
    7,804.80x = 10,770.62 × 4,268
  4. Step 4: Simplify right side
    7,804.80x = 45,969,006.16
  5. Step 5: Solve for x
    x = 45,969,006.16/7,804.80
  6. Step 6: Final answer
    x = 5,889.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.