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Finding the Fourth Proportional to 11,678.31, 16,115.76 and 6,373.22

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Solution

The fourth proportional to 11,678.31, 16,115.76 and 6,373.22 is: 8,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.31 : 16,115.76 = 6,373.22 : x
  2. Step 2: Convert to fraction form
    11,678.31/16,115.76 = 6,373.22/x
  3. Step 3: Cross multiply
    11,678.31x = 16,115.76 × 6,373.22
  4. Step 4: Simplify right side
    11,678.31x = 102,709,203.37
  5. Step 5: Solve for x
    x = 102,709,203.37/11,678.31
  6. Step 6: Final answer
    x = 8,794.87

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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.