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Finding the Fourth Proportional to 11,471.34, 17,195.40 and 7,773.96

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Solution

The fourth proportional to 11,471.34, 17,195.40 and 7,773.96 is: 11,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.34 : 17,195.40 = 7,773.96 : x
  2. Step 2: Convert to fraction form
    11,471.34/17,195.40 = 7,773.96/x
  3. Step 3: Cross multiply
    11,471.34x = 17,195.40 × 7,773.96
  4. Step 4: Simplify right side
    11,471.34x = 133,676,351.78
  5. Step 5: Solve for x
    x = 133,676,351.78/11,471.34
  6. Step 6: Final answer
    x = 11,653.07

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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.