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Finding the Fourth Proportional to 7,893.98, 11,842.82 and 2,347.37

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Solution

The fourth proportional to 7,893.98, 11,842.82 and 2,347.37 is: 3,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.98 : 11,842.82 = 2,347.37 : x
  2. Step 2: Convert to fraction form
    7,893.98/11,842.82 = 2,347.37/x
  3. Step 3: Cross multiply
    7,893.98x = 11,842.82 × 2,347.37
  4. Step 4: Simplify right side
    7,893.98x = 27,799,409.43
  5. Step 5: Solve for x
    x = 27,799,409.43/7,893.98
  6. Step 6: Final answer
    x = 3,521.60

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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.