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Finding the Fourth Proportional to 8,506.74, 12,756.86 and 4,063.62

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Solution

The fourth proportional to 8,506.74, 12,756.86 and 4,063.62 is: 6,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.74 : 12,756.86 = 4,063.62 : x
  2. Step 2: Convert to fraction form
    8,506.74/12,756.86 = 4,063.62/x
  3. Step 3: Cross multiply
    8,506.74x = 12,756.86 × 4,063.62
  4. Step 4: Simplify right side
    8,506.74x = 51,839,031.43
  5. Step 5: Solve for x
    x = 51,839,031.43/8,506.74
  6. Step 6: Final answer
    x = 6,093.88

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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.