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Finding the Fourth Proportional to 11,779.97, 17,669.81 and 3,459.69

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Solution

The fourth proportional to 11,779.97, 17,669.81 and 3,459.69 is: 5,189.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.97 : 17,669.81 = 3,459.69 : x
  2. Step 2: Convert to fraction form
    11,779.97/17,669.81 = 3,459.69/x
  3. Step 3: Cross multiply
    11,779.97x = 17,669.81 × 3,459.69
  4. Step 4: Simplify right side
    11,779.97x = 61,132,064.96
  5. Step 5: Solve for x
    x = 61,132,064.96/11,779.97
  6. Step 6: Final answer
    x = 5,189.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.