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Finding the Fourth Proportional to 11,560.96, 17,307.42 and 7,164.28

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Solution

The fourth proportional to 11,560.96, 17,307.42 and 7,164.28 is: 10,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,560.96 : 17,307.42 = 7,164.28 : x
  2. Step 2: Convert to fraction form
    11,560.96/17,307.42 = 7,164.28/x
  3. Step 3: Cross multiply
    11,560.96x = 17,307.42 × 7,164.28
  4. Step 4: Simplify right side
    11,560.96x = 123,995,202.96
  5. Step 5: Solve for x
    x = 123,995,202.96/11,560.96
  6. Step 6: Final answer
    x = 10,725.34

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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.