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Finding the Fourth Proportional to 11,378.88, 17,046.45 and 6,433.83

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Solution

The fourth proportional to 11,378.88, 17,046.45 and 6,433.83 is: 9,638.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.88 : 17,046.45 = 6,433.83 : x
  2. Step 2: Convert to fraction form
    11,378.88/17,046.45 = 6,433.83/x
  3. Step 3: Cross multiply
    11,378.88x = 17,046.45 × 6,433.83
  4. Step 4: Simplify right side
    11,378.88x = 109,673,961.40
  5. Step 5: Solve for x
    x = 109,673,961.40/11,378.88
  6. Step 6: Final answer
    x = 9,638.38

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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.