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Finding the Fourth Proportional to 11,310.96, 15,609.22 and 6,206.45

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Solution

The fourth proportional to 11,310.96, 15,609.22 and 6,206.45 is: 8,564.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.96 : 15,609.22 = 6,206.45 : x
  2. Step 2: Convert to fraction form
    11,310.96/15,609.22 = 6,206.45/x
  3. Step 3: Cross multiply
    11,310.96x = 15,609.22 × 6,206.45
  4. Step 4: Simplify right side
    11,310.96x = 96,877,734.39
  5. Step 5: Solve for x
    x = 96,877,734.39/11,310.96
  6. Step 6: Final answer
    x = 8,564.94

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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.