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Finding the Fourth Proportional to 8,350, 12,526.93 and 2,506.73

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Solution

The fourth proportional to 8,350, 12,526.93 and 2,506.73 is: 3,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350 : 12,526.93 = 2,506.73 : x
  2. Step 2: Convert to fraction form
    8,350/12,526.93 = 2,506.73/x
  3. Step 3: Cross multiply
    8,350x = 12,526.93 × 2,506.73
  4. Step 4: Simplify right side
    8,350x = 31,401,631.24
  5. Step 5: Solve for x
    x = 31,401,631.24/8,350
  6. Step 6: Final answer
    x = 3,760.67

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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.