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Finding the Fourth Proportional to 8,760.74, 13,142.60 and 3,830.27

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Solution

The fourth proportional to 8,760.74, 13,142.60 and 3,830.27 is: 5,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.74 : 13,142.60 = 3,830.27 : x
  2. Step 2: Convert to fraction form
    8,760.74/13,142.60 = 3,830.27/x
  3. Step 3: Cross multiply
    8,760.74x = 13,142.60 × 3,830.27
  4. Step 4: Simplify right side
    8,760.74x = 50,339,687.35
  5. Step 5: Solve for x
    x = 50,339,687.35/8,760.74
  6. Step 6: Final answer
    x = 5,746.05

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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.