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Finding the Fourth Proportional to 7,184.27, 9,914.20 and 4,040.46

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Solution

The fourth proportional to 7,184.27, 9,914.20 and 4,040.46 is: 5,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.27 : 9,914.20 = 4,040.46 : x
  2. Step 2: Convert to fraction form
    7,184.27/9,914.20 = 4,040.46/x
  3. Step 3: Cross multiply
    7,184.27x = 9,914.20 × 4,040.46
  4. Step 4: Simplify right side
    7,184.27x = 40,057,893.65
  5. Step 5: Solve for x
    x = 40,057,893.65/7,184.27
  6. Step 6: Final answer
    x = 5,575.78

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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.