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Finding the Fourth Proportional to 8,410.63, 12,603.12 and 4,022.05

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Solution

The fourth proportional to 8,410.63, 12,603.12 and 4,022.05 is: 6,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.63 : 12,603.12 = 4,022.05 : x
  2. Step 2: Convert to fraction form
    8,410.63/12,603.12 = 4,022.05/x
  3. Step 3: Cross multiply
    8,410.63x = 12,603.12 × 4,022.05
  4. Step 4: Simplify right side
    8,410.63x = 50,690,378.80
  5. Step 5: Solve for x
    x = 50,690,378.80/8,410.63
  6. Step 6: Final answer
    x = 6,026.94

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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.