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Finding the Fourth Proportional to 8,471.66, 12,709.70 and 3,206.70

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Solution

The fourth proportional to 8,471.66, 12,709.70 and 3,206.70 is: 4,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.66 : 12,709.70 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    8,471.66/12,709.70 = 3,206.70/x
  3. Step 3: Cross multiply
    8,471.66x = 12,709.70 × 3,206.70
  4. Step 4: Simplify right side
    8,471.66x = 40,756,178.96
  5. Step 5: Solve for x
    x = 40,756,178.96/8,471.66
  6. Step 6: Final answer
    x = 4,810.89

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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.