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Finding the Fourth Proportional to 11,618.87, 17,406.43 and 5,779.58

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Solution

The fourth proportional to 11,618.87, 17,406.43 and 5,779.58 is: 8,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.87 : 17,406.43 = 5,779.58 : x
  2. Step 2: Convert to fraction form
    11,618.87/17,406.43 = 5,779.58/x
  3. Step 3: Cross multiply
    11,618.87x = 17,406.43 × 5,779.58
  4. Step 4: Simplify right side
    11,618.87x = 100,601,753.22
  5. Step 5: Solve for x
    x = 100,601,753.22/11,618.87
  6. Step 6: Final answer
    x = 8,658.48

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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.