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Finding the Fourth Proportional to 8,205.30, 12,300.60 and 3,009.96

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Solution

The fourth proportional to 8,205.30, 12,300.60 and 3,009.96 is: 4,512.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.30 : 12,300.60 = 3,009.96 : x
  2. Step 2: Convert to fraction form
    8,205.30/12,300.60 = 3,009.96/x
  3. Step 3: Cross multiply
    8,205.30x = 12,300.60 × 3,009.96
  4. Step 4: Simplify right side
    8,205.30x = 37,024,313.98
  5. Step 5: Solve for x
    x = 37,024,313.98/8,205.30
  6. Step 6: Final answer
    x = 4,512.24

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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.