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Finding the Fourth Proportional to 11,084, 16,630.14 and 4,511.84

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Solution

The fourth proportional to 11,084, 16,630.14 and 4,511.84 is: 6,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084 : 16,630.14 = 4,511.84 : x
  2. Step 2: Convert to fraction form
    11,084/16,630.14 = 4,511.84/x
  3. Step 3: Cross multiply
    11,084x = 16,630.14 × 4,511.84
  4. Step 4: Simplify right side
    11,084x = 75,032,530.86
  5. Step 5: Solve for x
    x = 75,032,530.86/11,084
  6. Step 6: Final answer
    x = 6,769.45

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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.