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Finding the Fourth Proportional to 8,338.42, 12,504.49 and 3,405.42

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Solution

The fourth proportional to 8,338.42, 12,504.49 and 3,405.42 is: 5,106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.42 : 12,504.49 = 3,405.42 : x
  2. Step 2: Convert to fraction form
    8,338.42/12,504.49 = 3,405.42/x
  3. Step 3: Cross multiply
    8,338.42x = 12,504.49 × 3,405.42
  4. Step 4: Simplify right side
    8,338.42x = 42,583,031.82
  5. Step 5: Solve for x
    x = 42,583,031.82/8,338.42
  6. Step 6: Final answer
    x = 5,106.85

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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.