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Finding the Fourth Proportional to 11,338.88, 17,007.39 and 7,166.72

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Solution

The fourth proportional to 11,338.88, 17,007.39 and 7,166.72 is: 10,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.88 : 17,007.39 = 7,166.72 : x
  2. Step 2: Convert to fraction form
    11,338.88/17,007.39 = 7,166.72/x
  3. Step 3: Cross multiply
    11,338.88x = 17,007.39 × 7,166.72
  4. Step 4: Simplify right side
    11,338.88x = 121,887,117.02
  5. Step 5: Solve for x
    x = 121,887,117.02/11,338.88
  6. Step 6: Final answer
    x = 10,749.49

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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.