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Finding the Fourth Proportional to 11,571.68, 15,967.50 and 6,536.54

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Solution

The fourth proportional to 11,571.68, 15,967.50 and 6,536.54 is: 9,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.68 : 15,967.50 = 6,536.54 : x
  2. Step 2: Convert to fraction form
    11,571.68/15,967.50 = 6,536.54/x
  3. Step 3: Cross multiply
    11,571.68x = 15,967.50 × 6,536.54
  4. Step 4: Simplify right side
    11,571.68x = 104,372,202.45
  5. Step 5: Solve for x
    x = 104,372,202.45/11,571.68
  6. Step 6: Final answer
    x = 9,019.62

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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.