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Finding the Fourth Proportional to 10,717.24, 16,081.98 and 6,343.24

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Solution

The fourth proportional to 10,717.24, 16,081.98 and 6,343.24 is: 9,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.24 : 16,081.98 = 6,343.24 : x
  2. Step 2: Convert to fraction form
    10,717.24/16,081.98 = 6,343.24/x
  3. Step 3: Cross multiply
    10,717.24x = 16,081.98 × 6,343.24
  4. Step 4: Simplify right side
    10,717.24x = 102,011,858.82
  5. Step 5: Solve for x
    x = 102,011,858.82/10,717.24
  6. Step 6: Final answer
    x = 9,518.48

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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.