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Finding the Fourth Proportional to 8,634.24, 12,953.52 and 3,441.60

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Solution

The fourth proportional to 8,634.24, 12,953.52 and 3,441.60 is: 5,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.24 : 12,953.52 = 3,441.60 : x
  2. Step 2: Convert to fraction form
    8,634.24/12,953.52 = 3,441.60/x
  3. Step 3: Cross multiply
    8,634.24x = 12,953.52 × 3,441.60
  4. Step 4: Simplify right side
    8,634.24x = 44,580,834.43
  5. Step 5: Solve for x
    x = 44,580,834.43/8,634.24
  6. Step 6: Final answer
    x = 5,163.26

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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.