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Finding the Fourth Proportional to 12,760.68, 19,142.46 and 5,834.28

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Solution

The fourth proportional to 12,760.68, 19,142.46 and 5,834.28 is: 8,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.68 : 19,142.46 = 5,834.28 : x
  2. Step 2: Convert to fraction form
    12,760.68/19,142.46 = 5,834.28/x
  3. Step 3: Cross multiply
    12,760.68x = 19,142.46 × 5,834.28
  4. Step 4: Simplify right side
    12,760.68x = 111,682,471.53
  5. Step 5: Solve for x
    x = 111,682,471.53/12,760.68
  6. Step 6: Final answer
    x = 8,752.08

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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.