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Finding the Fourth Proportional to 11,697.08, 16,141.77 and 6,391.78

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Solution

The fourth proportional to 11,697.08, 16,141.77 and 6,391.78 is: 8,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.08 : 16,141.77 = 6,391.78 : x
  2. Step 2: Convert to fraction form
    11,697.08/16,141.77 = 6,391.78/x
  3. Step 3: Cross multiply
    11,697.08x = 16,141.77 × 6,391.78
  4. Step 4: Simplify right side
    11,697.08x = 103,174,602.30
  5. Step 5: Solve for x
    x = 103,174,602.30/11,697.08
  6. Step 6: Final answer
    x = 8,820.55

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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.