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Finding the Fourth Proportional to 11,707.41, 16,151.71 and 7,223.39

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Solution

The fourth proportional to 11,707.41, 16,151.71 and 7,223.39 is: 9,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.41 : 16,151.71 = 7,223.39 : x
  2. Step 2: Convert to fraction form
    11,707.41/16,151.71 = 7,223.39/x
  3. Step 3: Cross multiply
    11,707.41x = 16,151.71 × 7,223.39
  4. Step 4: Simplify right side
    11,707.41x = 116,669,983.62
  5. Step 5: Solve for x
    x = 116,669,983.62/11,707.41
  6. Step 6: Final answer
    x = 9,965.48

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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.