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Finding the Fourth Proportional to 8,338.26, 12,509.07 and 3,408.30

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Solution

The fourth proportional to 8,338.26, 12,509.07 and 3,408.30 is: 5,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.26 : 12,509.07 = 3,408.30 : x
  2. Step 2: Convert to fraction form
    8,338.26/12,509.07 = 3,408.30/x
  3. Step 3: Cross multiply
    8,338.26x = 12,509.07 × 3,408.30
  4. Step 4: Simplify right side
    8,338.26x = 42,634,663.28
  5. Step 5: Solve for x
    x = 42,634,663.28/8,338.26
  6. Step 6: Final answer
    x = 5,113.14

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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.