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Finding the Fourth Proportional to 11,446.33, 17,153.07 and 6,505.53

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Solution

The fourth proportional to 11,446.33, 17,153.07 and 6,505.53 is: 9,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.33 : 17,153.07 = 6,505.53 : x
  2. Step 2: Convert to fraction form
    11,446.33/17,153.07 = 6,505.53/x
  3. Step 3: Cross multiply
    11,446.33x = 17,153.07 × 6,505.53
  4. Step 4: Simplify right side
    11,446.33x = 111,589,811.48
  5. Step 5: Solve for x
    x = 111,589,811.48/11,446.33
  6. Step 6: Final answer
    x = 9,748.96

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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.