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Finding the Fourth Proportional to 11,343.94, 17,010.82 and 6,078.04

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Solution

The fourth proportional to 11,343.94, 17,010.82 and 6,078.04 is: 9,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.94 : 17,010.82 = 6,078.04 : x
  2. Step 2: Convert to fraction form
    11,343.94/17,010.82 = 6,078.04/x
  3. Step 3: Cross multiply
    11,343.94x = 17,010.82 × 6,078.04
  4. Step 4: Simplify right side
    11,343.94x = 103,392,444.39
  5. Step 5: Solve for x
    x = 103,392,444.39/11,343.94
  6. Step 6: Final answer
    x = 9,114.33

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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.