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Finding the Fourth Proportional to 8,415.75, 12,628.53 and 3,154.47

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Solution

The fourth proportional to 8,415.75, 12,628.53 and 3,154.47 is: 4,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.75 : 12,628.53 = 3,154.47 : x
  2. Step 2: Convert to fraction form
    8,415.75/12,628.53 = 3,154.47/x
  3. Step 3: Cross multiply
    8,415.75x = 12,628.53 × 3,154.47
  4. Step 4: Simplify right side
    8,415.75x = 39,836,319.03
  5. Step 5: Solve for x
    x = 39,836,319.03/8,415.75
  6. Step 6: Final answer
    x = 4,733.54

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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.