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Finding the Fourth Proportional to 8,291.30, 12,435.86 and 2,743.27

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Solution

The fourth proportional to 8,291.30, 12,435.86 and 2,743.27 is: 4,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.30 : 12,435.86 = 2,743.27 : x
  2. Step 2: Convert to fraction form
    8,291.30/12,435.86 = 2,743.27/x
  3. Step 3: Cross multiply
    8,291.30x = 12,435.86 × 2,743.27
  4. Step 4: Simplify right side
    8,291.30x = 34,114,897.43
  5. Step 5: Solve for x
    x = 34,114,897.43/8,291.30
  6. Step 6: Final answer
    x = 4,114.54

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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.