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Finding the Fourth Proportional to 7,804.50, 11,703.96 and 2,256.36

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Solution

The fourth proportional to 7,804.50, 11,703.96 and 2,256.36 is: 3,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.50 : 11,703.96 = 2,256.36 : x
  2. Step 2: Convert to fraction form
    7,804.50/11,703.96 = 2,256.36/x
  3. Step 3: Cross multiply
    7,804.50x = 11,703.96 × 2,256.36
  4. Step 4: Simplify right side
    7,804.50x = 26,408,347.19
  5. Step 5: Solve for x
    x = 26,408,347.19/7,804.50
  6. Step 6: Final answer
    x = 3,383.73

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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.