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Finding the Fourth Proportional to 11,764.54, 16,234.98 and 6,386.86

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Solution

The fourth proportional to 11,764.54, 16,234.98 and 6,386.86 is: 8,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.54 : 16,234.98 = 6,386.86 : x
  2. Step 2: Convert to fraction form
    11,764.54/16,234.98 = 6,386.86/x
  3. Step 3: Cross multiply
    11,764.54x = 16,234.98 × 6,386.86
  4. Step 4: Simplify right side
    11,764.54x = 103,690,544.36
  5. Step 5: Solve for x
    x = 103,690,544.36/11,764.54
  6. Step 6: Final answer
    x = 8,813.82

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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.