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Finding the Fourth Proportional to 8,271.36, 12,409.92 and 3,080.64

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Solution

The fourth proportional to 8,271.36, 12,409.92 and 3,080.64 is: 4,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.36 : 12,409.92 = 3,080.64 : x
  2. Step 2: Convert to fraction form
    8,271.36/12,409.92 = 3,080.64/x
  3. Step 3: Cross multiply
    8,271.36x = 12,409.92 × 3,080.64
  4. Step 4: Simplify right side
    8,271.36x = 38,230,495.95
  5. Step 5: Solve for x
    x = 38,230,495.95/8,271.36
  6. Step 6: Final answer
    x = 4,622.03

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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.