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Finding the Fourth Proportional to 11,544.31, 17,316.47 and 2,779.22

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Solution

The fourth proportional to 11,544.31, 17,316.47 and 2,779.22 is: 4,168.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.31 : 17,316.47 = 2,779.22 : x
  2. Step 2: Convert to fraction form
    11,544.31/17,316.47 = 2,779.22/x
  3. Step 3: Cross multiply
    11,544.31x = 17,316.47 × 2,779.22
  4. Step 4: Simplify right side
    11,544.31x = 48,126,265.66
  5. Step 5: Solve for x
    x = 48,126,265.66/11,544.31
  6. Step 6: Final answer
    x = 4,168.83

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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.