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Finding the Fourth Proportional to 8,471.94, 12,712.26 and 4,034.64

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Solution

The fourth proportional to 8,471.94, 12,712.26 and 4,034.64 is: 6,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.94 : 12,712.26 = 4,034.64 : x
  2. Step 2: Convert to fraction form
    8,471.94/12,712.26 = 4,034.64/x
  3. Step 3: Cross multiply
    8,471.94x = 12,712.26 × 4,034.64
  4. Step 4: Simplify right side
    8,471.94x = 51,289,392.69
  5. Step 5: Solve for x
    x = 51,289,392.69/8,471.94
  6. Step 6: Final answer
    x = 6,054.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.