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Finding the Fourth Proportional to 8,384.29, 12,576.34 and 3,386.58

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Solution

The fourth proportional to 8,384.29, 12,576.34 and 3,386.58 is: 5,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.29 : 12,576.34 = 3,386.58 : x
  2. Step 2: Convert to fraction form
    8,384.29/12,576.34 = 3,386.58/x
  3. Step 3: Cross multiply
    8,384.29x = 12,576.34 × 3,386.58
  4. Step 4: Simplify right side
    8,384.29x = 42,590,738.59
  5. Step 5: Solve for x
    x = 42,590,738.59/8,384.29
  6. Step 6: Final answer
    x = 5,079.83

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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.