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Finding the Fourth Proportional to 11,072.64, 16,535.56 and 9,731.28

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Solution

The fourth proportional to 11,072.64, 16,535.56 and 9,731.28 is: 14,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,072.64 : 16,535.56 = 9,731.28 : x
  2. Step 2: Convert to fraction form
    11,072.64/16,535.56 = 9,731.28/x
  3. Step 3: Cross multiply
    11,072.64x = 16,535.56 × 9,731.28
  4. Step 4: Simplify right side
    11,072.64x = 160,912,164.32
  5. Step 5: Solve for x
    x = 160,912,164.32/11,072.64
  6. Step 6: Final answer
    x = 14,532.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.