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Finding the Fourth Proportional to 10,940.13, 16,385.57 and 7,667.83

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Solution

The fourth proportional to 10,940.13, 16,385.57 and 7,667.83 is: 11,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.13 : 16,385.57 = 7,667.83 : x
  2. Step 2: Convert to fraction form
    10,940.13/16,385.57 = 7,667.83/x
  3. Step 3: Cross multiply
    10,940.13x = 16,385.57 × 7,667.83
  4. Step 4: Simplify right side
    10,940.13x = 125,641,776.11
  5. Step 5: Solve for x
    x = 125,641,776.11/10,940.13
  6. Step 6: Final answer
    x = 11,484.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.