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Finding the Fourth Proportional to 11,766.57, 16,238.24 and 6,461.51

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Solution

The fourth proportional to 11,766.57, 16,238.24 and 6,461.51 is: 8,917.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.57 : 16,238.24 = 6,461.51 : x
  2. Step 2: Convert to fraction form
    11,766.57/16,238.24 = 6,461.51/x
  3. Step 3: Cross multiply
    11,766.57x = 16,238.24 × 6,461.51
  4. Step 4: Simplify right side
    11,766.57x = 104,923,460.87
  5. Step 5: Solve for x
    x = 104,923,460.87/11,766.57
  6. Step 6: Final answer
    x = 8,917.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.