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Finding the Fourth Proportional to 7,804.06, 11,704.34 and 2,256.18

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Solution

The fourth proportional to 7,804.06, 11,704.34 and 2,256.18 is: 3,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.06 : 11,704.34 = 2,256.18 : x
  2. Step 2: Convert to fraction form
    7,804.06/11,704.34 = 2,256.18/x
  3. Step 3: Cross multiply
    7,804.06x = 11,704.34 × 2,256.18
  4. Step 4: Simplify right side
    7,804.06x = 26,407,097.82
  5. Step 5: Solve for x
    x = 26,407,097.82/7,804.06
  6. Step 6: Final answer
    x = 3,383.76

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