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Finding the Fourth Proportional to 8,114.16, 12,173.66 and 3,431.74

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Solution

The fourth proportional to 8,114.16, 12,173.66 and 3,431.74 is: 5,148.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.16 : 12,173.66 = 3,431.74 : x
  2. Step 2: Convert to fraction form
    8,114.16/12,173.66 = 3,431.74/x
  3. Step 3: Cross multiply
    8,114.16x = 12,173.66 × 3,431.74
  4. Step 4: Simplify right side
    8,114.16x = 41,776,835.97
  5. Step 5: Solve for x
    x = 41,776,835.97/8,114.16
  6. Step 6: Final answer
    x = 5,148.63

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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.