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Finding the Fourth Proportional to 11,650.34, 16,076.64 and 6,345.08

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Solution

The fourth proportional to 11,650.34, 16,076.64 and 6,345.08 is: 8,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.34 : 16,076.64 = 6,345.08 : x
  2. Step 2: Convert to fraction form
    11,650.34/16,076.64 = 6,345.08/x
  3. Step 3: Cross multiply
    11,650.34x = 16,076.64 × 6,345.08
  4. Step 4: Simplify right side
    11,650.34x = 102,007,566.93
  5. Step 5: Solve for x
    x = 102,007,566.93/11,650.34
  6. Step 6: Final answer
    x = 8,755.76

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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.