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Finding the Fourth Proportional to 8,549.56, 12,824.34 and 2,706.67

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Solution

The fourth proportional to 8,549.56, 12,824.34 and 2,706.67 is: 4,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.56 : 12,824.34 = 2,706.67 : x
  2. Step 2: Convert to fraction form
    8,549.56/12,824.34 = 2,706.67/x
  3. Step 3: Cross multiply
    8,549.56x = 12,824.34 × 2,706.67
  4. Step 4: Simplify right side
    8,549.56x = 34,711,256.35
  5. Step 5: Solve for x
    x = 34,711,256.35/8,549.56
  6. Step 6: Final answer
    x = 4,060.01

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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.