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Finding the Fourth Proportional to 10,489.76, 14,485.20 and 7,832.60

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Solution

The fourth proportional to 10,489.76, 14,485.20 and 7,832.60 is: 10,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.76 : 14,485.20 = 7,832.60 : x
  2. Step 2: Convert to fraction form
    10,489.76/14,485.20 = 7,832.60/x
  3. Step 3: Cross multiply
    10,489.76x = 14,485.20 × 7,832.60
  4. Step 4: Simplify right side
    10,489.76x = 113,456,777.52
  5. Step 5: Solve for x
    x = 113,456,777.52/10,489.76
  6. Step 6: Final answer
    x = 10,815.96

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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.