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Finding the Fourth Proportional to 7,924.88, 11,889.81 and 4,765.96

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Solution

The fourth proportional to 7,924.88, 11,889.81 and 4,765.96 is: 7,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.88 : 11,889.81 = 4,765.96 : x
  2. Step 2: Convert to fraction form
    7,924.88/11,889.81 = 4,765.96/x
  3. Step 3: Cross multiply
    7,924.88x = 11,889.81 × 4,765.96
  4. Step 4: Simplify right side
    7,924.88x = 56,666,287.50
  5. Step 5: Solve for x
    x = 56,666,287.50/7,924.88
  6. Step 6: Final answer
    x = 7,150.43

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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.