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Finding the Fourth Proportional to 11,751.57, 17,618.10 and 5,824.38

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Solution

The fourth proportional to 11,751.57, 17,618.10 and 5,824.38 is: 8,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.57 : 17,618.10 = 5,824.38 : x
  2. Step 2: Convert to fraction form
    11,751.57/17,618.10 = 5,824.38/x
  3. Step 3: Cross multiply
    11,751.57x = 17,618.10 × 5,824.38
  4. Step 4: Simplify right side
    11,751.57x = 102,614,509.28
  5. Step 5: Solve for x
    x = 102,614,509.28/11,751.57
  6. Step 6: Final answer
    x = 8,731.98

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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.