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Finding the Fourth Proportional to 11,232.64, 16,845.36 and 6,301.12

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Solution

The fourth proportional to 11,232.64, 16,845.36 and 6,301.12 is: 9,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.64 : 16,845.36 = 6,301.12 : x
  2. Step 2: Convert to fraction form
    11,232.64/16,845.36 = 6,301.12/x
  3. Step 3: Cross multiply
    11,232.64x = 16,845.36 × 6,301.12
  4. Step 4: Simplify right side
    11,232.64x = 106,144,634.80
  5. Step 5: Solve for x
    x = 106,144,634.80/11,232.64
  6. Step 6: Final answer
    x = 9,449.66

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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.