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Finding the Fourth Proportional to 11,206.92, 16,808.22 and 3,416.52

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Solution

The fourth proportional to 11,206.92, 16,808.22 and 3,416.52 is: 5,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.92 : 16,808.22 = 3,416.52 : x
  2. Step 2: Convert to fraction form
    11,206.92/16,808.22 = 3,416.52/x
  3. Step 3: Cross multiply
    11,206.92x = 16,808.22 × 3,416.52
  4. Step 4: Simplify right side
    11,206.92x = 57,425,619.79
  5. Step 5: Solve for x
    x = 57,425,619.79/11,206.92
  6. Step 6: Final answer
    x = 5,124.12

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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.