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Finding the Fourth Proportional to 7,676.51, 11,503.62 and 4,163.54

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Solution

The fourth proportional to 7,676.51, 11,503.62 and 4,163.54 is: 6,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.51 : 11,503.62 = 4,163.54 : x
  2. Step 2: Convert to fraction form
    7,676.51/11,503.62 = 4,163.54/x
  3. Step 3: Cross multiply
    7,676.51x = 11,503.62 × 4,163.54
  4. Step 4: Simplify right side
    7,676.51x = 47,895,724.50
  5. Step 5: Solve for x
    x = 47,895,724.50/7,676.51
  6. Step 6: Final answer
    x = 6,239.26

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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.