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Finding the Fourth Proportional to 8,406.80, 12,604.80 and 3,478.40

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Solution

The fourth proportional to 8,406.80, 12,604.80 and 3,478.40 is: 5,215.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.80 : 12,604.80 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    8,406.80/12,604.80 = 3,478.40/x
  3. Step 3: Cross multiply
    8,406.80x = 12,604.80 × 3,478.40
  4. Step 4: Simplify right side
    8,406.80x = 43,844,536.32
  5. Step 5: Solve for x
    x = 43,844,536.32/8,406.80
  6. Step 6: Final answer
    x = 5,215.37

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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.