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Finding the Fourth Proportional to 7,676.88, 11,518.58 and 4,562.85

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Solution

The fourth proportional to 7,676.88, 11,518.58 and 4,562.85 is: 6,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.88 : 11,518.58 = 4,562.85 : x
  2. Step 2: Convert to fraction form
    7,676.88/11,518.58 = 4,562.85/x
  3. Step 3: Cross multiply
    7,676.88x = 11,518.58 × 4,562.85
  4. Step 4: Simplify right side
    7,676.88x = 52,557,529.94
  5. Step 5: Solve for x
    x = 52,557,529.94/7,676.88
  6. Step 6: Final answer
    x = 6,846.21

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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.