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Finding the Fourth Proportional to 11,661.70, 16,093.08 and 6,356.50

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Solution

The fourth proportional to 11,661.70, 16,093.08 and 6,356.50 is: 8,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.70 : 16,093.08 = 6,356.50 : x
  2. Step 2: Convert to fraction form
    11,661.70/16,093.08 = 6,356.50/x
  3. Step 3: Cross multiply
    11,661.70x = 16,093.08 × 6,356.50
  4. Step 4: Simplify right side
    11,661.70x = 102,295,663.02
  5. Step 5: Solve for x
    x = 102,295,663.02/11,661.70
  6. Step 6: Final answer
    x = 8,771.93

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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.