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Finding the Fourth Proportional to 27,092.69, 40,638.26 and 8,370

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Solution

The fourth proportional to 27,092.69, 40,638.26 and 8,370 is: 12,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,092.69 : 40,638.26 = 8,370 : x
  2. Step 2: Convert to fraction form
    27,092.69/40,638.26 = 8,370/x
  3. Step 3: Cross multiply
    27,092.69x = 40,638.26 × 8,370
  4. Step 4: Simplify right side
    27,092.69x = 340,142,194.35
  5. Step 5: Solve for x
    x = 340,142,194.35/27,092.69
  6. Step 6: Final answer
    x = 12,554.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.