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Finding the Fourth Proportional to 8,277.02, 12,413.72 and 5,306.56

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Solution

The fourth proportional to 8,277.02, 12,413.72 and 5,306.56 is: 7,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.02 : 12,413.72 = 5,306.56 : x
  2. Step 2: Convert to fraction form
    8,277.02/12,413.72 = 5,306.56/x
  3. Step 3: Cross multiply
    8,277.02x = 12,413.72 × 5,306.56
  4. Step 4: Simplify right side
    8,277.02x = 65,874,150.00
  5. Step 5: Solve for x
    x = 65,874,150.00/8,277.02
  6. Step 6: Final answer
    x = 7,958.68

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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.