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Finding the Fourth Proportional to 8,420.23, 11,614.62 and 4,882.15

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Solution

The fourth proportional to 8,420.23, 11,614.62 and 4,882.15 is: 6,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.23 : 11,614.62 = 4,882.15 : x
  2. Step 2: Convert to fraction form
    8,420.23/11,614.62 = 4,882.15/x
  3. Step 3: Cross multiply
    8,420.23x = 11,614.62 × 4,882.15
  4. Step 4: Simplify right side
    8,420.23x = 56,704,317.03
  5. Step 5: Solve for x
    x = 56,704,317.03/8,420.23
  6. Step 6: Final answer
    x = 6,734.30

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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.