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Finding the Fourth Proportional to 11,409.86, 15,745.65 and 6,374.09

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Solution

The fourth proportional to 11,409.86, 15,745.65 and 6,374.09 is: 8,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.86 : 15,745.65 = 6,374.09 : x
  2. Step 2: Convert to fraction form
    11,409.86/15,745.65 = 6,374.09/x
  3. Step 3: Cross multiply
    11,409.86x = 15,745.65 × 6,374.09
  4. Step 4: Simplify right side
    11,409.86x = 100,364,111.48
  5. Step 5: Solve for x
    x = 100,364,111.48/11,409.86
  6. Step 6: Final answer
    x = 8,796.27

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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.