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Finding the Fourth Proportional to 7,804.02, 11,704.02 and 2,256.30

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Solution

The fourth proportional to 7,804.02, 11,704.02 and 2,256.30 is: 3,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.02 : 11,704.02 = 2,256.30 : x
  2. Step 2: Convert to fraction form
    7,804.02/11,704.02 = 2,256.30/x
  3. Step 3: Cross multiply
    7,804.02x = 11,704.02 × 2,256.30
  4. Step 4: Simplify right side
    7,804.02x = 26,407,780.33
  5. Step 5: Solve for x
    x = 26,407,780.33/7,804.02
  6. Step 6: Final answer
    x = 3,383.87

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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.