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Finding the Fourth Proportional to 8,207.46, 12,292.83 and 3,818.34

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Solution

The fourth proportional to 8,207.46, 12,292.83 and 3,818.34 is: 5,718.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.46 : 12,292.83 = 3,818.34 : x
  2. Step 2: Convert to fraction form
    8,207.46/12,292.83 = 3,818.34/x
  3. Step 3: Cross multiply
    8,207.46x = 12,292.83 × 3,818.34
  4. Step 4: Simplify right side
    8,207.46x = 46,938,204.50
  5. Step 5: Solve for x
    x = 46,938,204.50/8,207.46
  6. Step 6: Final answer
    x = 5,718.97

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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.