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Finding the Fourth Proportional to 34,708.90, 52,063.35 and 8,413.64

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Solution

The fourth proportional to 34,708.90, 52,063.35 and 8,413.64 is: 12,620.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.90 : 52,063.35 = 8,413.64 : x
  2. Step 2: Convert to fraction form
    34,708.90/52,063.35 = 8,413.64/x
  3. Step 3: Cross multiply
    34,708.90x = 52,063.35 × 8,413.64
  4. Step 4: Simplify right side
    34,708.90x = 438,042,284.09
  5. Step 5: Solve for x
    x = 438,042,284.09/34,708.90
  6. Step 6: Final answer
    x = 12,620.46

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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.