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Finding the Fourth Proportional to 27,596.88, 41,397.30 and 7,876.98

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Solution

The fourth proportional to 27,596.88, 41,397.30 and 7,876.98 is: 11,816.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.88 : 41,397.30 = 7,876.98 : x
  2. Step 2: Convert to fraction form
    27,596.88/41,397.30 = 7,876.98/x
  3. Step 3: Cross multiply
    27,596.88x = 41,397.30 × 7,876.98
  4. Step 4: Simplify right side
    27,596.88x = 326,085,704.15
  5. Step 5: Solve for x
    x = 326,085,704.15/27,596.88
  6. Step 6: Final answer
    x = 11,816.04

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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.