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Finding the Fourth Proportional to 11,790.24, 17,662.19 and 6,849.51

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Solution

The fourth proportional to 11,790.24, 17,662.19 and 6,849.51 is: 10,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.24 : 17,662.19 = 6,849.51 : x
  2. Step 2: Convert to fraction form
    11,790.24/17,662.19 = 6,849.51/x
  3. Step 3: Cross multiply
    11,790.24x = 17,662.19 × 6,849.51
  4. Step 4: Simplify right side
    11,790.24x = 120,977,312.78
  5. Step 5: Solve for x
    x = 120,977,312.78/11,790.24
  6. Step 6: Final answer
    x = 10,260.80

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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.