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Finding the Fourth Proportional to 10,905.59, 16,336.97 and 7,196.50

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Solution

The fourth proportional to 10,905.59, 16,336.97 and 7,196.50 is: 10,780.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.59 : 16,336.97 = 7,196.50 : x
  2. Step 2: Convert to fraction form
    10,905.59/16,336.97 = 7,196.50/x
  3. Step 3: Cross multiply
    10,905.59x = 16,336.97 × 7,196.50
  4. Step 4: Simplify right side
    10,905.59x = 117,568,903.89
  5. Step 5: Solve for x
    x = 117,568,903.89/10,905.59
  6. Step 6: Final answer
    x = 10,780.61

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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.