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Finding the Fourth Proportional to 8,070.53, 12,105.47 and 2,226.99

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Solution

The fourth proportional to 8,070.53, 12,105.47 and 2,226.99 is: 3,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.53 : 12,105.47 = 2,226.99 : x
  2. Step 2: Convert to fraction form
    8,070.53/12,105.47 = 2,226.99/x
  3. Step 3: Cross multiply
    8,070.53x = 12,105.47 × 2,226.99
  4. Step 4: Simplify right side
    8,070.53x = 26,958,749.50
  5. Step 5: Solve for x
    x = 26,958,749.50/8,070.53
  6. Step 6: Final answer
    x = 3,340.39

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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.