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Finding the Fourth Proportional to 12,760.56, 19,142.16 and 3,526.56

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Solution

The fourth proportional to 12,760.56, 19,142.16 and 3,526.56 is: 5,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.56 : 19,142.16 = 3,526.56 : x
  2. Step 2: Convert to fraction form
    12,760.56/19,142.16 = 3,526.56/x
  3. Step 3: Cross multiply
    12,760.56x = 19,142.16 × 3,526.56
  4. Step 4: Simplify right side
    12,760.56x = 67,505,975.77
  5. Step 5: Solve for x
    x = 67,505,975.77/12,760.56
  6. Step 6: Final answer
    x = 5,290.20

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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.