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Finding the Fourth Proportional to 8,103.20, 12,145.20 and 4,205.60

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Solution

The fourth proportional to 8,103.20, 12,145.20 and 4,205.60 is: 6,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.20 : 12,145.20 = 4,205.60 : x
  2. Step 2: Convert to fraction form
    8,103.20/12,145.20 = 4,205.60/x
  3. Step 3: Cross multiply
    8,103.20x = 12,145.20 × 4,205.60
  4. Step 4: Simplify right side
    8,103.20x = 51,077,853.12
  5. Step 5: Solve for x
    x = 51,077,853.12/8,103.20
  6. Step 6: Final answer
    x = 6,303.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.