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Finding the Fourth Proportional to 11,229.12, 15,496.92 and 6,513.84

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Solution

The fourth proportional to 11,229.12, 15,496.92 and 6,513.84 is: 8,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.12 : 15,496.92 = 6,513.84 : x
  2. Step 2: Convert to fraction form
    11,229.12/15,496.92 = 6,513.84/x
  3. Step 3: Cross multiply
    11,229.12x = 15,496.92 × 6,513.84
  4. Step 4: Simplify right side
    11,229.12x = 100,944,457.37
  5. Step 5: Solve for x
    x = 100,944,457.37/11,229.12
  6. Step 6: Final answer
    x = 8,989.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.