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Finding the Fourth Proportional to 11,384.16, 17,068.50 and 3,984.54

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Solution

The fourth proportional to 11,384.16, 17,068.50 and 3,984.54 is: 5,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.16 : 17,068.50 = 3,984.54 : x
  2. Step 2: Convert to fraction form
    11,384.16/17,068.50 = 3,984.54/x
  3. Step 3: Cross multiply
    11,384.16x = 17,068.50 × 3,984.54
  4. Step 4: Simplify right side
    11,384.16x = 68,010,120.99
  5. Step 5: Solve for x
    x = 68,010,120.99/11,384.16
  6. Step 6: Final answer
    x = 5,974.10

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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.