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Finding the Fourth Proportional to 7,896.78, 11,844.36 and 2,703.06

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Solution

The fourth proportional to 7,896.78, 11,844.36 and 2,703.06 is: 4,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.78 : 11,844.36 = 2,703.06 : x
  2. Step 2: Convert to fraction form
    7,896.78/11,844.36 = 2,703.06/x
  3. Step 3: Cross multiply
    7,896.78x = 11,844.36 × 2,703.06
  4. Step 4: Simplify right side
    7,896.78x = 32,016,015.74
  5. Step 5: Solve for x
    x = 32,016,015.74/7,896.78
  6. Step 6: Final answer
    x = 4,054.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.