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Finding the Fourth Proportional to 11,341.89, 17,009.76 and 7,175.64

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Solution

The fourth proportional to 11,341.89, 17,009.76 and 7,175.64 is: 10,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.89 : 17,009.76 = 7,175.64 : x
  2. Step 2: Convert to fraction form
    11,341.89/17,009.76 = 7,175.64/x
  3. Step 3: Cross multiply
    11,341.89x = 17,009.76 × 7,175.64
  4. Step 4: Simplify right side
    11,341.89x = 122,055,914.25
  5. Step 5: Solve for x
    x = 122,055,914.25/11,341.89
  6. Step 6: Final answer
    x = 10,761.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.