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Finding the Fourth Proportional to 8,281.74, 12,421.39 and 2,735.27

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Solution

The fourth proportional to 8,281.74, 12,421.39 and 2,735.27 is: 4,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.74 : 12,421.39 = 2,735.27 : x
  2. Step 2: Convert to fraction form
    8,281.74/12,421.39 = 2,735.27/x
  3. Step 3: Cross multiply
    8,281.74x = 12,421.39 × 2,735.27
  4. Step 4: Simplify right side
    8,281.74x = 33,975,855.43
  5. Step 5: Solve for x
    x = 33,975,855.43/8,281.74
  6. Step 6: Final answer
    x = 4,102.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.