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Finding the Fourth Proportional to 11,945.96, 16,484.24 and 6,640.26

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Solution

The fourth proportional to 11,945.96, 16,484.24 and 6,640.26 is: 9,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.96 : 16,484.24 = 6,640.26 : x
  2. Step 2: Convert to fraction form
    11,945.96/16,484.24 = 6,640.26/x
  3. Step 3: Cross multiply
    11,945.96x = 16,484.24 × 6,640.26
  4. Step 4: Simplify right side
    11,945.96x = 109,459,639.50
  5. Step 5: Solve for x
    x = 109,459,639.50/11,945.96
  6. Step 6: Final answer
    x = 9,162.90

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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.