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Finding the Fourth Proportional to 10,420.55, 15,611.21 and 5,149.42

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Solution

The fourth proportional to 10,420.55, 15,611.21 and 5,149.42 is: 7,714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.55 : 15,611.21 = 5,149.42 : x
  2. Step 2: Convert to fraction form
    10,420.55/15,611.21 = 5,149.42/x
  3. Step 3: Cross multiply
    10,420.55x = 15,611.21 × 5,149.42
  4. Step 4: Simplify right side
    10,420.55x = 80,388,748.31
  5. Step 5: Solve for x
    x = 80,388,748.31/10,420.55
  6. Step 6: Final answer
    x = 7,714.44

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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.