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Finding the Fourth Proportional to 8,507.80, 11,744.90 and 5,676.85

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Solution

The fourth proportional to 8,507.80, 11,744.90 and 5,676.85 is: 7,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.80 : 11,744.90 = 5,676.85 : x
  2. Step 2: Convert to fraction form
    8,507.80/11,744.90 = 5,676.85/x
  3. Step 3: Cross multiply
    8,507.80x = 11,744.90 × 5,676.85
  4. Step 4: Simplify right side
    8,507.80x = 66,674,035.57
  5. Step 5: Solve for x
    x = 66,674,035.57/8,507.80
  6. Step 6: Final answer
    x = 7,836.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.