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Finding the Fourth Proportional to 6,382.23, 8,804.40 and 4,114.43

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Solution

The fourth proportional to 6,382.23, 8,804.40 and 4,114.43 is: 5,675.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.23 : 8,804.40 = 4,114.43 : x
  2. Step 2: Convert to fraction form
    6,382.23/8,804.40 = 4,114.43/x
  3. Step 3: Cross multiply
    6,382.23x = 8,804.40 × 4,114.43
  4. Step 4: Simplify right side
    6,382.23x = 36,225,087.49
  5. Step 5: Solve for x
    x = 36,225,087.49/6,382.23
  6. Step 6: Final answer
    x = 5,675.93

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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.