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Finding the Fourth Proportional to 11,444.86, 15,793.75 and 6,409.07

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Solution

The fourth proportional to 11,444.86, 15,793.75 and 6,409.07 is: 8,844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.86 : 15,793.75 = 6,409.07 : x
  2. Step 2: Convert to fraction form
    11,444.86/15,793.75 = 6,409.07/x
  3. Step 3: Cross multiply
    11,444.86x = 15,793.75 × 6,409.07
  4. Step 4: Simplify right side
    11,444.86x = 101,223,249.31
  5. Step 5: Solve for x
    x = 101,223,249.31/11,444.86
  6. Step 6: Final answer
    x = 8,844.43

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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.