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Finding the Fourth Proportional to 8,357.99, 12,462.26 and 8,128.35

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Solution

The fourth proportional to 8,357.99, 12,462.26 and 8,128.35 is: 12,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.99 : 12,462.26 = 8,128.35 : x
  2. Step 2: Convert to fraction form
    8,357.99/12,462.26 = 8,128.35/x
  3. Step 3: Cross multiply
    8,357.99x = 12,462.26 × 8,128.35
  4. Step 4: Simplify right side
    8,357.99x = 101,297,570.43
  5. Step 5: Solve for x
    x = 101,297,570.43/8,357.99
  6. Step 6: Final answer
    x = 12,119.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.