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Finding the Fourth Proportional to 8,338.30, 12,507.45 and 3,406.83

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Solution

The fourth proportional to 8,338.30, 12,507.45 and 3,406.83 is: 5,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.30 : 12,507.45 = 3,406.83 : x
  2. Step 2: Convert to fraction form
    8,338.30/12,507.45 = 3,406.83/x
  3. Step 3: Cross multiply
    8,338.30x = 12,507.45 × 3,406.83
  4. Step 4: Simplify right side
    8,338.30x = 42,610,755.88
  5. Step 5: Solve for x
    x = 42,610,755.88/8,338.30
  6. Step 6: Final answer
    x = 5,110.25

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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.