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Finding the Fourth Proportional to 8,082.30, 12,114.46 and 3,400.93

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Solution

The fourth proportional to 8,082.30, 12,114.46 and 3,400.93 is: 5,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.30 : 12,114.46 = 3,400.93 : x
  2. Step 2: Convert to fraction form
    8,082.30/12,114.46 = 3,400.93/x
  3. Step 3: Cross multiply
    8,082.30x = 12,114.46 × 3,400.93
  4. Step 4: Simplify right side
    8,082.30x = 41,200,430.45
  5. Step 5: Solve for x
    x = 41,200,430.45/8,082.30
  6. Step 6: Final answer
    x = 5,097.61

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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.