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Finding the Fourth Proportional to 27,596.34, 41,395.83 and 7,877.76

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Solution

The fourth proportional to 27,596.34, 41,395.83 and 7,877.76 is: 11,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.34 : 41,395.83 = 7,877.76 : x
  2. Step 2: Convert to fraction form
    27,596.34/41,395.83 = 7,877.76/x
  3. Step 3: Cross multiply
    27,596.34x = 41,395.83 × 7,877.76
  4. Step 4: Simplify right side
    27,596.34x = 326,106,413.74
  5. Step 5: Solve for x
    x = 326,106,413.74/27,596.34
  6. Step 6: Final answer
    x = 11,817.02

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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.