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Finding the Fourth Proportional to 11,344.39, 17,013.51 and 7,178.14

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Solution

The fourth proportional to 11,344.39, 17,013.51 and 7,178.14 is: 10,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.39 : 17,013.51 = 7,178.14 : x
  2. Step 2: Convert to fraction form
    11,344.39/17,013.51 = 7,178.14/x
  3. Step 3: Cross multiply
    11,344.39x = 17,013.51 × 7,178.14
  4. Step 4: Simplify right side
    11,344.39x = 122,125,356.67
  5. Step 5: Solve for x
    x = 122,125,356.67/11,344.39
  6. Step 6: Final answer
    x = 10,765.26

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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.