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Finding the Fourth Proportional to 11,832.89, 16,330.95 and 7,584.66

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Solution

The fourth proportional to 11,832.89, 16,330.95 and 7,584.66 is: 10,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.89 : 16,330.95 = 7,584.66 : x
  2. Step 2: Convert to fraction form
    11,832.89/16,330.95 = 7,584.66/x
  3. Step 3: Cross multiply
    11,832.89x = 16,330.95 × 7,584.66
  4. Step 4: Simplify right side
    11,832.89x = 123,864,703.23
  5. Step 5: Solve for x
    x = 123,864,703.23/11,832.89
  6. Step 6: Final answer
    x = 10,467.84

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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.