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Finding the Fourth Proportional to 8,256.38, 12,384.63 and 3,639.38

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Solution

The fourth proportional to 8,256.38, 12,384.63 and 3,639.38 is: 5,459.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.38 : 12,384.63 = 3,639.38 : x
  2. Step 2: Convert to fraction form
    8,256.38/12,384.63 = 3,639.38/x
  3. Step 3: Cross multiply
    8,256.38x = 12,384.63 × 3,639.38
  4. Step 4: Simplify right side
    8,256.38x = 45,072,312.81
  5. Step 5: Solve for x
    x = 45,072,312.81/8,256.38
  6. Step 6: Final answer
    x = 5,459.09

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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.