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Finding the Fourth Proportional to 11,868.52, 16,379 and 7,676.77

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Solution

The fourth proportional to 11,868.52, 16,379 and 7,676.77 is: 10,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.52 : 16,379 = 7,676.77 : x
  2. Step 2: Convert to fraction form
    11,868.52/16,379 = 7,676.77/x
  3. Step 3: Cross multiply
    11,868.52x = 16,379 × 7,676.77
  4. Step 4: Simplify right side
    11,868.52x = 125,737,815.83
  5. Step 5: Solve for x
    x = 125,737,815.83/11,868.52
  6. Step 6: Final answer
    x = 10,594.23

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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.