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Finding the Fourth Proportional to 8,415.60, 12,615.40 and 3,149.20

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Solution

The fourth proportional to 8,415.60, 12,615.40 and 3,149.20 is: 4,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.60 : 12,615.40 = 3,149.20 : x
  2. Step 2: Convert to fraction form
    8,415.60/12,615.40 = 3,149.20/x
  3. Step 3: Cross multiply
    8,415.60x = 12,615.40 × 3,149.20
  4. Step 4: Simplify right side
    8,415.60x = 39,728,417.68
  5. Step 5: Solve for x
    x = 39,728,417.68/8,415.60
  6. Step 6: Final answer
    x = 4,720.81

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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.