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Finding the Fourth Proportional to 8,421.20, 11,617.94 and 4,882.31

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Solution

The fourth proportional to 8,421.20, 11,617.94 and 4,882.31 is: 6,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.20 : 11,617.94 = 4,882.31 : x
  2. Step 2: Convert to fraction form
    8,421.20/11,617.94 = 4,882.31/x
  3. Step 3: Cross multiply
    8,421.20x = 11,617.94 × 4,882.31
  4. Step 4: Simplify right side
    8,421.20x = 56,722,360.23
  5. Step 5: Solve for x
    x = 56,722,360.23/8,421.20
  6. Step 6: Final answer
    x = 6,735.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.