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Finding the Fourth Proportional to 11,496.72, 17,247.84 and 6,820.32

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Solution

The fourth proportional to 11,496.72, 17,247.84 and 6,820.32 is: 10,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.72 : 17,247.84 = 6,820.32 : x
  2. Step 2: Convert to fraction form
    11,496.72/17,247.84 = 6,820.32/x
  3. Step 3: Cross multiply
    11,496.72x = 17,247.84 × 6,820.32
  4. Step 4: Simplify right side
    11,496.72x = 117,635,788.11
  5. Step 5: Solve for x
    x = 117,635,788.11/11,496.72
  6. Step 6: Final answer
    x = 10,232.12

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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.