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Finding the Fourth Proportional to 8,413.46, 12,615.76 and 4,466.94

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Solution

The fourth proportional to 8,413.46, 12,615.76 and 4,466.94 is: 6,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.46 : 12,615.76 = 4,466.94 : x
  2. Step 2: Convert to fraction form
    8,413.46/12,615.76 = 4,466.94/x
  3. Step 3: Cross multiply
    8,413.46x = 12,615.76 × 4,466.94
  4. Step 4: Simplify right side
    8,413.46x = 56,353,842.97
  5. Step 5: Solve for x
    x = 56,353,842.97/8,413.46
  6. Step 6: Final answer
    x = 6,698.06

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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.