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Finding the Fourth Proportional to 7,662.96, 11,492.82 and 3,500.24

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Solution

The fourth proportional to 7,662.96, 11,492.82 and 3,500.24 is: 5,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.96 : 11,492.82 = 3,500.24 : x
  2. Step 2: Convert to fraction form
    7,662.96/11,492.82 = 3,500.24/x
  3. Step 3: Cross multiply
    7,662.96x = 11,492.82 × 3,500.24
  4. Step 4: Simplify right side
    7,662.96x = 40,227,570.81
  5. Step 5: Solve for x
    x = 40,227,570.81/7,662.96
  6. Step 6: Final answer
    x = 5,249.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.