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Finding the Fourth Proportional to 8,384.46, 12,573.24 and 3,119.81

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Solution

The fourth proportional to 8,384.46, 12,573.24 and 3,119.81 is: 4,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.46 : 12,573.24 = 3,119.81 : x
  2. Step 2: Convert to fraction form
    8,384.46/12,573.24 = 3,119.81/x
  3. Step 3: Cross multiply
    8,384.46x = 12,573.24 × 3,119.81
  4. Step 4: Simplify right side
    8,384.46x = 39,226,057.02
  5. Step 5: Solve for x
    x = 39,226,057.02/8,384.46
  6. Step 6: Final answer
    x = 4,678.42

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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.