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Finding the Fourth Proportional to 6,729.30, 10,090.35 and 2,829.30

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Solution

The fourth proportional to 6,729.30, 10,090.35 and 2,829.30 is: 4,242.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.30 : 10,090.35 = 2,829.30 : x
  2. Step 2: Convert to fraction form
    6,729.30/10,090.35 = 2,829.30/x
  3. Step 3: Cross multiply
    6,729.30x = 10,090.35 × 2,829.30
  4. Step 4: Simplify right side
    6,729.30x = 28,548,627.26
  5. Step 5: Solve for x
    x = 28,548,627.26/6,729.30
  6. Step 6: Final answer
    x = 4,242.44

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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.