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Finding the Fourth Proportional to 7,676.66, 11,490.23 and 3,973.80

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Solution

The fourth proportional to 7,676.66, 11,490.23 and 3,973.80 is: 5,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.66 : 11,490.23 = 3,973.80 : x
  2. Step 2: Convert to fraction form
    7,676.66/11,490.23 = 3,973.80/x
  3. Step 3: Cross multiply
    7,676.66x = 11,490.23 × 3,973.80
  4. Step 4: Simplify right side
    7,676.66x = 45,659,875.97
  5. Step 5: Solve for x
    x = 45,659,875.97/7,676.66
  6. Step 6: Final answer
    x = 5,947.88

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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.