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Finding the Fourth Proportional to 11,738.40, 17,607.57 and 6,473.17

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Solution

The fourth proportional to 11,738.40, 17,607.57 and 6,473.17 is: 9,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738.40 : 17,607.57 = 6,473.17 : x
  2. Step 2: Convert to fraction form
    11,738.40/17,607.57 = 6,473.17/x
  3. Step 3: Cross multiply
    11,738.40x = 17,607.57 × 6,473.17
  4. Step 4: Simplify right side
    11,738.40x = 113,976,793.90
  5. Step 5: Solve for x
    x = 113,976,793.90/11,738.40
  6. Step 6: Final answer
    x = 9,709.74

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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.