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Finding the Fourth Proportional to 11,955.69, 17,941.71 and 4,164.51

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Solution

The fourth proportional to 11,955.69, 17,941.71 and 4,164.51 is: 6,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.69 : 17,941.71 = 4,164.51 : x
  2. Step 2: Convert to fraction form
    11,955.69/17,941.71 = 4,164.51/x
  3. Step 3: Cross multiply
    11,955.69x = 17,941.71 × 4,164.51
  4. Step 4: Simplify right side
    11,955.69x = 74,718,430.71
  5. Step 5: Solve for x
    x = 74,718,430.71/11,955.69
  6. Step 6: Final answer
    x = 6,249.61

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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.