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Finding the Fourth Proportional to 11,750.06, 17,609.43 and 6,202.10

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Solution

The fourth proportional to 11,750.06, 17,609.43 and 6,202.10 is: 9,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.06 : 17,609.43 = 6,202.10 : x
  2. Step 2: Convert to fraction form
    11,750.06/17,609.43 = 6,202.10/x
  3. Step 3: Cross multiply
    11,750.06x = 17,609.43 × 6,202.10
  4. Step 4: Simplify right side
    11,750.06x = 109,215,445.80
  5. Step 5: Solve for x
    x = 109,215,445.80/11,750.06
  6. Step 6: Final answer
    x = 9,294.88

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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.