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Finding the Fourth Proportional to 11,763.84, 16,234.05 and 6,458.70

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Solution

The fourth proportional to 11,763.84, 16,234.05 and 6,458.70 is: 8,912.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.84 : 16,234.05 = 6,458.70 : x
  2. Step 2: Convert to fraction form
    11,763.84/16,234.05 = 6,458.70/x
  3. Step 3: Cross multiply
    11,763.84x = 16,234.05 × 6,458.70
  4. Step 4: Simplify right side
    11,763.84x = 104,850,858.74
  5. Step 5: Solve for x
    x = 104,850,858.74/11,763.84
  6. Step 6: Final answer
    x = 8,912.98

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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.