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Finding the Fourth Proportional to 7,795.44, 11,650.06 and 6,983.28

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Solution

The fourth proportional to 7,795.44, 11,650.06 and 6,983.28 is: 10,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795.44 : 11,650.06 = 6,983.28 : x
  2. Step 2: Convert to fraction form
    7,795.44/11,650.06 = 6,983.28/x
  3. Step 3: Cross multiply
    7,795.44x = 11,650.06 × 6,983.28
  4. Step 4: Simplify right side
    7,795.44x = 81,355,631.00
  5. Step 5: Solve for x
    x = 81,355,631.00/7,795.44
  6. Step 6: Final answer
    x = 10,436.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.