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Finding the Fourth Proportional to 11,677.85, 16,115.78 and 6,373.01

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Solution

The fourth proportional to 11,677.85, 16,115.78 and 6,373.01 is: 8,794.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.85 : 16,115.78 = 6,373.01 : x
  2. Step 2: Convert to fraction form
    11,677.85/16,115.78 = 6,373.01/x
  3. Step 3: Cross multiply
    11,677.85x = 16,115.78 × 6,373.01
  4. Step 4: Simplify right side
    11,677.85x = 102,706,059.42
  5. Step 5: Solve for x
    x = 102,706,059.42/11,677.85
  6. Step 6: Final answer
    x = 8,794.94

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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.