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Finding the Fourth Proportional to 11,618.19, 17,384.22 and 6,940.74

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Solution

The fourth proportional to 11,618.19, 17,384.22 and 6,940.74 is: 10,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.19 : 17,384.22 = 6,940.74 : x
  2. Step 2: Convert to fraction form
    11,618.19/17,384.22 = 6,940.74/x
  3. Step 3: Cross multiply
    11,618.19x = 17,384.22 × 6,940.74
  4. Step 4: Simplify right side
    11,618.19x = 120,659,416.31
  5. Step 5: Solve for x
    x = 120,659,416.31/11,618.19
  6. Step 6: Final answer
    x = 10,385.39

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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.