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Finding the Fourth Proportional to 8,313.49, 12,470.21 and 3,381.96

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Solution

The fourth proportional to 8,313.49, 12,470.21 and 3,381.96 is: 5,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.49 : 12,470.21 = 3,381.96 : x
  2. Step 2: Convert to fraction form
    8,313.49/12,470.21 = 3,381.96/x
  3. Step 3: Cross multiply
    8,313.49x = 12,470.21 × 3,381.96
  4. Step 4: Simplify right side
    8,313.49x = 42,173,734.50
  5. Step 5: Solve for x
    x = 42,173,734.50/8,313.49
  6. Step 6: Final answer
    x = 5,072.93

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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.