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Finding the Fourth Proportional to 10,911.92, 16,367.94 and 4,666.68

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Solution

The fourth proportional to 10,911.92, 16,367.94 and 4,666.68 is: 7,000.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,911.92 : 16,367.94 = 4,666.68 : x
  2. Step 2: Convert to fraction form
    10,911.92/16,367.94 = 4,666.68/x
  3. Step 3: Cross multiply
    10,911.92x = 16,367.94 × 4,666.68
  4. Step 4: Simplify right side
    10,911.92x = 76,383,938.24
  5. Step 5: Solve for x
    x = 76,383,938.24/10,911.92
  6. Step 6: Final answer
    x = 7,000.05

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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.