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Finding the Fourth Proportional to 11,154.08, 16,720.24 and 5,309.12

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Solution

The fourth proportional to 11,154.08, 16,720.24 and 5,309.12 is: 7,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.08 : 16,720.24 = 5,309.12 : x
  2. Step 2: Convert to fraction form
    11,154.08/16,720.24 = 5,309.12/x
  3. Step 3: Cross multiply
    11,154.08x = 16,720.24 × 5,309.12
  4. Step 4: Simplify right side
    11,154.08x = 88,769,760.59
  5. Step 5: Solve for x
    x = 88,769,760.59/11,154.08
  6. Step 6: Final answer
    x = 7,958.50

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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.