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Finding the Fourth Proportional to 12,739.40, 19,111.02 and 3,975

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Solution

The fourth proportional to 12,739.40, 19,111.02 and 3,975 is: 5,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,739.40 : 19,111.02 = 3,975 : x
  2. Step 2: Convert to fraction form
    12,739.40/19,111.02 = 3,975/x
  3. Step 3: Cross multiply
    12,739.40x = 19,111.02 × 3,975
  4. Step 4: Simplify right side
    12,739.40x = 75,966,304.50
  5. Step 5: Solve for x
    x = 75,966,304.50/12,739.40
  6. Step 6: Final answer
    x = 5,963.10

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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.