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Finding the Fourth Proportional to 8,006.46, 12,012.06 and 3,325.68

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Solution

The fourth proportional to 8,006.46, 12,012.06 and 3,325.68 is: 4,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.46 : 12,012.06 = 3,325.68 : x
  2. Step 2: Convert to fraction form
    8,006.46/12,012.06 = 3,325.68/x
  3. Step 3: Cross multiply
    8,006.46x = 12,012.06 × 3,325.68
  4. Step 4: Simplify right side
    8,006.46x = 39,948,267.70
  5. Step 5: Solve for x
    x = 39,948,267.70/8,006.46
  6. Step 6: Final answer
    x = 4,989.50

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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.