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Finding the Fourth Proportional to 8,384.54, 12,578.33 and 6,838.25

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Solution

The fourth proportional to 8,384.54, 12,578.33 and 6,838.25 is: 10,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.54 : 12,578.33 = 6,838.25 : x
  2. Step 2: Convert to fraction form
    8,384.54/12,578.33 = 6,838.25/x
  3. Step 3: Cross multiply
    8,384.54x = 12,578.33 × 6,838.25
  4. Step 4: Simplify right side
    8,384.54x = 86,013,719.33
  5. Step 5: Solve for x
    x = 86,013,719.33/8,384.54
  6. Step 6: Final answer
    x = 10,258.62

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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.