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Finding the Fourth Proportional to 11,774.79, 17,663.90 and 3,980.97

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Solution

The fourth proportional to 11,774.79, 17,663.90 and 3,980.97 is: 5,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.79 : 17,663.90 = 3,980.97 : x
  2. Step 2: Convert to fraction form
    11,774.79/17,663.90 = 3,980.97/x
  3. Step 3: Cross multiply
    11,774.79x = 17,663.90 × 3,980.97
  4. Step 4: Simplify right side
    11,774.79x = 70,319,436.08
  5. Step 5: Solve for x
    x = 70,319,436.08/11,774.79
  6. Step 6: Final answer
    x = 5,972.03

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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.