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Finding the Fourth Proportional to 11,306.00, 16,958.97 and 7,409.49

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Solution

The fourth proportional to 11,306.00, 16,958.97 and 7,409.49 is: 11,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.00 : 16,958.97 = 7,409.49 : x
  2. Step 2: Convert to fraction form
    11,306.00/16,958.97 = 7,409.49/x
  3. Step 3: Cross multiply
    11,306.00x = 16,958.97 × 7,409.49
  4. Step 4: Simplify right side
    11,306.00x = 125,657,318.63
  5. Step 5: Solve for x
    x = 125,657,318.63/11,306.00
  6. Step 6: Final answer
    x = 11,114.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.