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Finding the Fourth Proportional to 11,595.69, 16,015.37 and 7,634.52

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Solution

The fourth proportional to 11,595.69, 16,015.37 and 7,634.52 is: 10,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.69 : 16,015.37 = 7,634.52 : x
  2. Step 2: Convert to fraction form
    11,595.69/16,015.37 = 7,634.52/x
  3. Step 3: Cross multiply
    11,595.69x = 16,015.37 × 7,634.52
  4. Step 4: Simplify right side
    11,595.69x = 122,269,624.40
  5. Step 5: Solve for x
    x = 122,269,624.40/11,595.69
  6. Step 6: Final answer
    x = 10,544.40

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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.