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Finding the Fourth Proportional to 8,358.41, 12,538.23 and 2,811.73

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Solution

The fourth proportional to 8,358.41, 12,538.23 and 2,811.73 is: 4,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.41 : 12,538.23 = 2,811.73 : x
  2. Step 2: Convert to fraction form
    8,358.41/12,538.23 = 2,811.73/x
  3. Step 3: Cross multiply
    8,358.41x = 12,538.23 × 2,811.73
  4. Step 4: Simplify right side
    8,358.41x = 35,254,117.44
  5. Step 5: Solve for x
    x = 35,254,117.44/8,358.41
  6. Step 6: Final answer
    x = 4,217.80

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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.