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Finding the Fourth Proportional to 8,466.00, 12,700.60 and 3,786.21

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Solution

The fourth proportional to 8,466.00, 12,700.60 and 3,786.21 is: 5,680.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.00 : 12,700.60 = 3,786.21 : x
  2. Step 2: Convert to fraction form
    8,466.00/12,700.60 = 3,786.21/x
  3. Step 3: Cross multiply
    8,466.00x = 12,700.60 × 3,786.21
  4. Step 4: Simplify right side
    8,466.00x = 48,087,129.26
  5. Step 5: Solve for x
    x = 48,087,129.26/8,466.00
  6. Step 6: Final answer
    x = 5,680.03

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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.