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Finding the Fourth Proportional to 10,792.24, 16,185.34 and 6,837.62

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Solution

The fourth proportional to 10,792.24, 16,185.34 and 6,837.62 is: 10,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.24 : 16,185.34 = 6,837.62 : x
  2. Step 2: Convert to fraction form
    10,792.24/16,185.34 = 6,837.62/x
  3. Step 3: Cross multiply
    10,792.24x = 16,185.34 × 6,837.62
  4. Step 4: Simplify right side
    10,792.24x = 110,669,204.49
  5. Step 5: Solve for x
    x = 110,669,204.49/10,792.24
  6. Step 6: Final answer
    x = 10,254.52

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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.