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Finding the Fourth Proportional to 8,277.45, 12,413.53 and 2,729.76

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Solution

The fourth proportional to 8,277.45, 12,413.53 and 2,729.76 is: 4,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.45 : 12,413.53 = 2,729.76 : x
  2. Step 2: Convert to fraction form
    8,277.45/12,413.53 = 2,729.76/x
  3. Step 3: Cross multiply
    8,277.45x = 12,413.53 × 2,729.76
  4. Step 4: Simplify right side
    8,277.45x = 33,885,957.65
  5. Step 5: Solve for x
    x = 33,885,957.65/8,277.45
  6. Step 6: Final answer
    x = 4,093.77

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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.