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Finding the Fourth Proportional to 7,896.06, 11,845.80 and 2,349.81

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Solution

The fourth proportional to 7,896.06, 11,845.80 and 2,349.81 is: 3,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.06 : 11,845.80 = 2,349.81 : x
  2. Step 2: Convert to fraction form
    7,896.06/11,845.80 = 2,349.81/x
  3. Step 3: Cross multiply
    7,896.06x = 11,845.80 × 2,349.81
  4. Step 4: Simplify right side
    7,896.06x = 27,835,379.30
  5. Step 5: Solve for x
    x = 27,835,379.30/7,896.06
  6. Step 6: Final answer
    x = 3,525.22

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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.