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Finding the Fourth Proportional to 8,384.86, 12,575.04 and 3,993.58

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Solution

The fourth proportional to 8,384.86, 12,575.04 and 3,993.58 is: 5,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.86 : 12,575.04 = 3,993.58 : x
  2. Step 2: Convert to fraction form
    8,384.86/12,575.04 = 3,993.58/x
  3. Step 3: Cross multiply
    8,384.86x = 12,575.04 × 3,993.58
  4. Step 4: Simplify right side
    8,384.86x = 50,219,428.24
  5. Step 5: Solve for x
    x = 50,219,428.24/8,384.86
  6. Step 6: Final answer
    x = 5,989.30

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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.