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Finding the Fourth Proportional to 7,858.62, 11,795.34 and 2,865.83

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Solution

The fourth proportional to 7,858.62, 11,795.34 and 2,865.83 is: 4,301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.62 : 11,795.34 = 2,865.83 : x
  2. Step 2: Convert to fraction form
    7,858.62/11,795.34 = 2,865.83/x
  3. Step 3: Cross multiply
    7,858.62x = 11,795.34 × 2,865.83
  4. Step 4: Simplify right side
    7,858.62x = 33,803,365.93
  5. Step 5: Solve for x
    x = 33,803,365.93/7,858.62
  6. Step 6: Final answer
    x = 4,301.44

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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.