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Finding the Fourth Proportional to 11,701.13, 16,139.96 and 7,879.34

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Solution

The fourth proportional to 11,701.13, 16,139.96 and 7,879.34 is: 10,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.13 : 16,139.96 = 7,879.34 : x
  2. Step 2: Convert to fraction form
    11,701.13/16,139.96 = 7,879.34/x
  3. Step 3: Cross multiply
    11,701.13x = 16,139.96 × 7,879.34
  4. Step 4: Simplify right side
    11,701.13x = 127,172,262.93
  5. Step 5: Solve for x
    x = 127,172,262.93/11,701.13
  6. Step 6: Final answer
    x = 10,868.38

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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.