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Finding the Fourth Proportional to 11,779.58, 16,260.14 and 7,801.97

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Solution

The fourth proportional to 11,779.58, 16,260.14 and 7,801.97 is: 10,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.58 : 16,260.14 = 7,801.97 : x
  2. Step 2: Convert to fraction form
    11,779.58/16,260.14 = 7,801.97/x
  3. Step 3: Cross multiply
    11,779.58x = 16,260.14 × 7,801.97
  4. Step 4: Simplify right side
    11,779.58x = 126,861,154.14
  5. Step 5: Solve for x
    x = 126,861,154.14/11,779.58
  6. Step 6: Final answer
    x = 10,769.58

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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.