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Finding the Fourth Proportional to 11,656, 17,471.28 and 5,736.96

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Solution

The fourth proportional to 11,656, 17,471.28 and 5,736.96 is: 8,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 17,471.28 = 5,736.96 : x
  2. Step 2: Convert to fraction form
    11,656/17,471.28 = 5,736.96/x
  3. Step 3: Cross multiply
    11,656x = 17,471.28 × 5,736.96
  4. Step 4: Simplify right side
    11,656x = 100,232,034.51
  5. Step 5: Solve for x
    x = 100,232,034.51/11,656
  6. Step 6: Final answer
    x = 8,599.18

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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.