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Finding the Fourth Proportional to 8,425.62, 12,638.73 and 3,160.09

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Solution

The fourth proportional to 8,425.62, 12,638.73 and 3,160.09 is: 4,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.62 : 12,638.73 = 3,160.09 : x
  2. Step 2: Convert to fraction form
    8,425.62/12,638.73 = 3,160.09/x
  3. Step 3: Cross multiply
    8,425.62x = 12,638.73 × 3,160.09
  4. Step 4: Simplify right side
    8,425.62x = 39,939,528.23
  5. Step 5: Solve for x
    x = 39,939,528.23/8,425.62
  6. Step 6: Final answer
    x = 4,740.25

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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.