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Finding the Fourth Proportional to 11,415.60, 15,753.50 and 6,379.82

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Solution

The fourth proportional to 11,415.60, 15,753.50 and 6,379.82 is: 8,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.60 : 15,753.50 = 6,379.82 : x
  2. Step 2: Convert to fraction form
    11,415.60/15,753.50 = 6,379.82/x
  3. Step 3: Cross multiply
    11,415.60x = 15,753.50 × 6,379.82
  4. Step 4: Simplify right side
    11,415.60x = 100,504,462.47
  5. Step 5: Solve for x
    x = 100,504,462.47/11,415.60
  6. Step 6: Final answer
    x = 8,804.14

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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.