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Finding the Fourth Proportional to 11,944, 16,482.75 and 6,640.08

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Solution

The fourth proportional to 11,944, 16,482.75 and 6,640.08 is: 9,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944 : 16,482.75 = 6,640.08 : x
  2. Step 2: Convert to fraction form
    11,944/16,482.75 = 6,640.08/x
  3. Step 3: Cross multiply
    11,944x = 16,482.75 × 6,640.08
  4. Step 4: Simplify right side
    11,944x = 109,446,663.01
  5. Step 5: Solve for x
    x = 109,446,663.01/11,944
  6. Step 6: Final answer
    x = 9,163.32

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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.