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Finding the Fourth Proportional to 10,996.46, 16,477.39 and 8,503.75

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Solution

The fourth proportional to 10,996.46, 16,477.39 and 8,503.75 is: 12,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.46 : 16,477.39 = 8,503.75 : x
  2. Step 2: Convert to fraction form
    10,996.46/16,477.39 = 8,503.75/x
  3. Step 3: Cross multiply
    10,996.46x = 16,477.39 × 8,503.75
  4. Step 4: Simplify right side
    10,996.46x = 140,119,636.44
  5. Step 5: Solve for x
    x = 140,119,636.44/10,996.46
  6. Step 6: Final answer
    x = 12,742.25

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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.