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Finding the Fourth Proportional to 8,453.34, 12,671.06 and 3,186.07

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Solution

The fourth proportional to 8,453.34, 12,671.06 and 3,186.07 is: 4,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.34 : 12,671.06 = 3,186.07 : x
  2. Step 2: Convert to fraction form
    8,453.34/12,671.06 = 3,186.07/x
  3. Step 3: Cross multiply
    8,453.34x = 12,671.06 × 3,186.07
  4. Step 4: Simplify right side
    8,453.34x = 40,370,836.53
  5. Step 5: Solve for x
    x = 40,370,836.53/8,453.34
  6. Step 6: Final answer
    x = 4,775.73

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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.