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Finding the Fourth Proportional to 11,525.34, 15,905.67 and 6,489.78

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Solution

The fourth proportional to 11,525.34, 15,905.67 and 6,489.78 is: 8,956.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.34 : 15,905.67 = 6,489.78 : x
  2. Step 2: Convert to fraction form
    11,525.34/15,905.67 = 6,489.78/x
  3. Step 3: Cross multiply
    11,525.34x = 15,905.67 × 6,489.78
  4. Step 4: Simplify right side
    11,525.34x = 103,224,299.05
  5. Step 5: Solve for x
    x = 103,224,299.05/11,525.34
  6. Step 6: Final answer
    x = 8,956.29

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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.