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Finding the Fourth Proportional to 11,650.51, 16,078.27 and 6,614.64

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Solution

The fourth proportional to 11,650.51, 16,078.27 and 6,614.64 is: 9,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.51 : 16,078.27 = 6,614.64 : x
  2. Step 2: Convert to fraction form
    11,650.51/16,078.27 = 6,614.64/x
  3. Step 3: Cross multiply
    11,650.51x = 16,078.27 × 6,614.64
  4. Step 4: Simplify right side
    11,650.51x = 106,351,887.48
  5. Step 5: Solve for x
    x = 106,351,887.48/11,650.51
  6. Step 6: Final answer
    x = 9,128.52

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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.