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Finding the Fourth Proportional to 11,415.76, 15,753.44 and 6,380.02

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Solution

The fourth proportional to 11,415.76, 15,753.44 and 6,380.02 is: 8,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.76 : 15,753.44 = 6,380.02 : x
  2. Step 2: Convert to fraction form
    11,415.76/15,753.44 = 6,380.02/x
  3. Step 3: Cross multiply
    11,415.76x = 15,753.44 × 6,380.02
  4. Step 4: Simplify right side
    11,415.76x = 100,507,262.27
  5. Step 5: Solve for x
    x = 100,507,262.27/11,415.76
  6. Step 6: Final answer
    x = 8,804.26

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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.