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Finding the Fourth Proportional to 8,348.94, 12,512.34 and 3,415.91

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Solution

The fourth proportional to 8,348.94, 12,512.34 and 3,415.91 is: 5,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348.94 : 12,512.34 = 3,415.91 : x
  2. Step 2: Convert to fraction form
    8,348.94/12,512.34 = 3,415.91/x
  3. Step 3: Cross multiply
    8,348.94x = 12,512.34 × 3,415.91
  4. Step 4: Simplify right side
    8,348.94x = 42,740,964.77
  5. Step 5: Solve for x
    x = 42,740,964.77/8,348.94
  6. Step 6: Final answer
    x = 5,119.33

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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.