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Finding the Fourth Proportional to 8,357.10, 12,535.67 and 3,425.86

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Solution

The fourth proportional to 8,357.10, 12,535.67 and 3,425.86 is: 5,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.10 : 12,535.67 = 3,425.86 : x
  2. Step 2: Convert to fraction form
    8,357.10/12,535.67 = 3,425.86/x
  3. Step 3: Cross multiply
    8,357.10x = 12,535.67 × 3,425.86
  4. Step 4: Simplify right side
    8,357.10x = 42,945,450.43
  5. Step 5: Solve for x
    x = 42,945,450.43/8,357.10
  6. Step 6: Final answer
    x = 5,138.80

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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.