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Finding the Fourth Proportional to 11,444.55, 15,795 and 6,409.05

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Solution

The fourth proportional to 11,444.55, 15,795 and 6,409.05 is: 8,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.55 : 15,795 = 6,409.05 : x
  2. Step 2: Convert to fraction form
    11,444.55/15,795 = 6,409.05/x
  3. Step 3: Cross multiply
    11,444.55x = 15,795 × 6,409.05
  4. Step 4: Simplify right side
    11,444.55x = 101,230,944.75
  5. Step 5: Solve for x
    x = 101,230,944.75/11,444.55
  6. Step 6: Final answer
    x = 8,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.