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Finding the Fourth Proportional to 11,905.50, 16,430.50 and 6,601.34

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Solution

The fourth proportional to 11,905.50, 16,430.50 and 6,601.34 is: 9,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.50 : 16,430.50 = 6,601.34 : x
  2. Step 2: Convert to fraction form
    11,905.50/16,430.50 = 6,601.34/x
  3. Step 3: Cross multiply
    11,905.50x = 16,430.50 × 6,601.34
  4. Step 4: Simplify right side
    11,905.50x = 108,463,316.87
  5. Step 5: Solve for x
    x = 108,463,316.87/11,905.50
  6. Step 6: Final answer
    x = 9,110.35

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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.