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Finding the Fourth Proportional to 7,676.96, 11,528.28 and 6,711.44

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Solution

The fourth proportional to 7,676.96, 11,528.28 and 6,711.44 is: 10,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.96 : 11,528.28 = 6,711.44 : x
  2. Step 2: Convert to fraction form
    7,676.96/11,528.28 = 6,711.44/x
  3. Step 3: Cross multiply
    7,676.96x = 11,528.28 × 6,711.44
  4. Step 4: Simplify right side
    7,676.96x = 77,371,359.52
  5. Step 5: Solve for x
    x = 77,371,359.52/7,676.96
  6. Step 6: Final answer
    x = 10,078.39

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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.