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Finding the Fourth Proportional to 11,474.64, 15,844.41 and 7,232.49

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Solution

The fourth proportional to 11,474.64, 15,844.41 and 7,232.49 is: 9,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.64 : 15,844.41 = 7,232.49 : x
  2. Step 2: Convert to fraction form
    11,474.64/15,844.41 = 7,232.49/x
  3. Step 3: Cross multiply
    11,474.64x = 15,844.41 × 7,232.49
  4. Step 4: Simplify right side
    11,474.64x = 114,594,536.88
  5. Step 5: Solve for x
    x = 114,594,536.88/11,474.64
  6. Step 6: Final answer
    x = 9,986.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.