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Finding the Fourth Proportional to 6,502.12, 9,755.24 and 2,059.60

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Solution

The fourth proportional to 6,502.12, 9,755.24 and 2,059.60 is: 3,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.12 : 9,755.24 = 2,059.60 : x
  2. Step 2: Convert to fraction form
    6,502.12/9,755.24 = 2,059.60/x
  3. Step 3: Cross multiply
    6,502.12x = 9,755.24 × 2,059.60
  4. Step 4: Simplify right side
    6,502.12x = 20,091,892.30
  5. Step 5: Solve for x
    x = 20,091,892.30/6,502.12
  6. Step 6: Final answer
    x = 3,090.05

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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.