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Finding the Fourth Proportional to 11,884.52, 16,400.87 and 7,109.39

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Solution

The fourth proportional to 11,884.52, 16,400.87 and 7,109.39 is: 9,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.52 : 16,400.87 = 7,109.39 : x
  2. Step 2: Convert to fraction form
    11,884.52/16,400.87 = 7,109.39/x
  3. Step 3: Cross multiply
    11,884.52x = 16,400.87 × 7,109.39
  4. Step 4: Simplify right side
    11,884.52x = 116,600,116.94
  5. Step 5: Solve for x
    x = 116,600,116.94/11,884.52
  6. Step 6: Final answer
    x = 9,811.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.