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Finding the Fourth Proportional to 10,635.56, 14,661.96 and 7,650.44

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Solution

The fourth proportional to 10,635.56, 14,661.96 and 7,650.44 is: 10,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.56 : 14,661.96 = 7,650.44 : x
  2. Step 2: Convert to fraction form
    10,635.56/14,661.96 = 7,650.44/x
  3. Step 3: Cross multiply
    10,635.56x = 14,661.96 × 7,650.44
  4. Step 4: Simplify right side
    10,635.56x = 112,170,445.26
  5. Step 5: Solve for x
    x = 112,170,445.26/10,635.56
  6. Step 6: Final answer
    x = 10,546.74

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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.