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Finding the Fourth Proportional to 11,656.15, 16,085.67 and 6,350.97

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Solution

The fourth proportional to 11,656.15, 16,085.67 and 6,350.97 is: 8,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.15 : 16,085.67 = 6,350.97 : x
  2. Step 2: Convert to fraction form
    11,656.15/16,085.67 = 6,350.97/x
  3. Step 3: Cross multiply
    11,656.15x = 16,085.67 × 6,350.97
  4. Step 4: Simplify right side
    11,656.15x = 102,159,567.39
  5. Step 5: Solve for x
    x = 102,159,567.39/11,656.15
  6. Step 6: Final answer
    x = 8,764.43

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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.