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Finding the Fourth Proportional to 8,114.44, 12,171.74 and 3,184.58

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Solution

The fourth proportional to 8,114.44, 12,171.74 and 3,184.58 is: 4,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.44 : 12,171.74 = 3,184.58 : x
  2. Step 2: Convert to fraction form
    8,114.44/12,171.74 = 3,184.58/x
  3. Step 3: Cross multiply
    8,114.44x = 12,171.74 × 3,184.58
  4. Step 4: Simplify right side
    8,114.44x = 38,761,802.99
  5. Step 5: Solve for x
    x = 38,761,802.99/8,114.44
  6. Step 6: Final answer
    x = 4,776.89

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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.