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Finding the Fourth Proportional to 8,090.55, 12,132.47 and 2,824.44

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Solution

The fourth proportional to 8,090.55, 12,132.47 and 2,824.44 is: 4,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,090.55 : 12,132.47 = 2,824.44 : x
  2. Step 2: Convert to fraction form
    8,090.55/12,132.47 = 2,824.44/x
  3. Step 3: Cross multiply
    8,090.55x = 12,132.47 × 2,824.44
  4. Step 4: Simplify right side
    8,090.55x = 34,267,419.44
  5. Step 5: Solve for x
    x = 34,267,419.44/8,090.55
  6. Step 6: Final answer
    x = 4,235.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.