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Finding the Fourth Proportional to 8,410.90, 11,604.67 and 5,425.60

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Solution

The fourth proportional to 8,410.90, 11,604.67 and 5,425.60 is: 7,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.90 : 11,604.67 = 5,425.60 : x
  2. Step 2: Convert to fraction form
    8,410.90/11,604.67 = 5,425.60/x
  3. Step 3: Cross multiply
    8,410.90x = 11,604.67 × 5,425.60
  4. Step 4: Simplify right side
    8,410.90x = 62,962,297.55
  5. Step 5: Solve for x
    x = 62,962,297.55/8,410.90
  6. Step 6: Final answer
    x = 7,485.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.