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Finding the Fourth Proportional to 10,992.92, 16,462.65 and 5,151.20

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Solution

The fourth proportional to 10,992.92, 16,462.65 and 5,151.20 is: 7,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.92 : 16,462.65 = 5,151.20 : x
  2. Step 2: Convert to fraction form
    10,992.92/16,462.65 = 5,151.20/x
  3. Step 3: Cross multiply
    10,992.92x = 16,462.65 × 5,151.20
  4. Step 4: Simplify right side
    10,992.92x = 84,802,402.68
  5. Step 5: Solve for x
    x = 84,802,402.68/10,992.92
  6. Step 6: Final answer
    x = 7,714.27

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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.