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Finding the Fourth Proportional to 10,992.42, 16,491.45 and 3,201.24

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Solution

The fourth proportional to 10,992.42, 16,491.45 and 3,201.24 is: 4,802.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.42 : 16,491.45 = 3,201.24 : x
  2. Step 2: Convert to fraction form
    10,992.42/16,491.45 = 3,201.24/x
  3. Step 3: Cross multiply
    10,992.42x = 16,491.45 × 3,201.24
  4. Step 4: Simplify right side
    10,992.42x = 52,793,089.40
  5. Step 5: Solve for x
    x = 52,793,089.40/10,992.42
  6. Step 6: Final answer
    x = 4,802.68

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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.