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Finding the Fourth Proportional to 12,735.40, 19,105.02 and 3,971

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Solution

The fourth proportional to 12,735.40, 19,105.02 and 3,971 is: 5,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.40 : 19,105.02 = 3,971 : x
  2. Step 2: Convert to fraction form
    12,735.40/19,105.02 = 3,971/x
  3. Step 3: Cross multiply
    12,735.40x = 19,105.02 × 3,971
  4. Step 4: Simplify right side
    12,735.40x = 75,866,034.42
  5. Step 5: Solve for x
    x = 75,866,034.42/12,735.40
  6. Step 6: Final answer
    x = 5,957.10

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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.