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Finding the Fourth Proportional to 11,927.44, 16,460.16 and 6,622

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Solution

The fourth proportional to 11,927.44, 16,460.16 and 6,622 is: 9,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.44 : 16,460.16 = 6,622 : x
  2. Step 2: Convert to fraction form
    11,927.44/16,460.16 = 6,622/x
  3. Step 3: Cross multiply
    11,927.44x = 16,460.16 × 6,622
  4. Step 4: Simplify right side
    11,927.44x = 108,999,179.52
  5. Step 5: Solve for x
    x = 108,999,179.52/11,927.44
  6. Step 6: Final answer
    x = 9,138.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.