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Finding the Fourth Proportional to 11,540.32, 17,338.16 and 7,388.46

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Solution

The fourth proportional to 11,540.32, 17,338.16 and 7,388.46 is: 11,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.32 : 17,338.16 = 7,388.46 : x
  2. Step 2: Convert to fraction form
    11,540.32/17,338.16 = 7,388.46/x
  3. Step 3: Cross multiply
    11,540.32x = 17,338.16 × 7,388.46
  4. Step 4: Simplify right side
    11,540.32x = 128,102,301.63
  5. Step 5: Solve for x
    x = 128,102,301.63/11,540.32
  6. Step 6: Final answer
    x = 11,100.41

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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.