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Finding the Fourth Proportional to 11,824.01, 16,316.93 and 6,519.32

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Solution

The fourth proportional to 11,824.01, 16,316.93 and 6,519.32 is: 8,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.01 : 16,316.93 = 6,519.32 : x
  2. Step 2: Convert to fraction form
    11,824.01/16,316.93 = 6,519.32/x
  3. Step 3: Cross multiply
    11,824.01x = 16,316.93 × 6,519.32
  4. Step 4: Simplify right side
    11,824.01x = 106,375,222.80
  5. Step 5: Solve for x
    x = 106,375,222.80/11,824.01
  6. Step 6: Final answer
    x = 8,996.55

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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.