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Finding the Fourth Proportional to 8,384.40, 12,574.17 and 3,189.06

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Solution

The fourth proportional to 8,384.40, 12,574.17 and 3,189.06 is: 4,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.40 : 12,574.17 = 3,189.06 : x
  2. Step 2: Convert to fraction form
    8,384.40/12,574.17 = 3,189.06/x
  3. Step 3: Cross multiply
    8,384.40x = 12,574.17 × 3,189.06
  4. Step 4: Simplify right side
    8,384.40x = 40,099,782.58
  5. Step 5: Solve for x
    x = 40,099,782.58/8,384.40
  6. Step 6: Final answer
    x = 4,782.67

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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.