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Finding the Fourth Proportional to 11,930.22, 16,462.86 and 6,624.60

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Solution

The fourth proportional to 11,930.22, 16,462.86 and 6,624.60 is: 9,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.22 : 16,462.86 = 6,624.60 : x
  2. Step 2: Convert to fraction form
    11,930.22/16,462.86 = 6,624.60/x
  3. Step 3: Cross multiply
    11,930.22x = 16,462.86 × 6,624.60
  4. Step 4: Simplify right side
    11,930.22x = 109,059,862.36
  5. Step 5: Solve for x
    x = 109,059,862.36/11,930.22
  6. Step 6: Final answer
    x = 9,141.48

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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.