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Finding the Fourth Proportional to 11,778.24, 16,253.89 and 6,400.65

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Solution

The fourth proportional to 11,778.24, 16,253.89 and 6,400.65 is: 8,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.24 : 16,253.89 = 6,400.65 : x
  2. Step 2: Convert to fraction form
    11,778.24/16,253.89 = 6,400.65/x
  3. Step 3: Cross multiply
    11,778.24x = 16,253.89 × 6,400.65
  4. Step 4: Simplify right side
    11,778.24x = 104,035,420.39
  5. Step 5: Solve for x
    x = 104,035,420.39/11,778.24
  6. Step 6: Final answer
    x = 8,832.85

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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.