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Finding the Fourth Proportional to 11,409.16, 15,744.18 and 6,373.30

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Solution

The fourth proportional to 11,409.16, 15,744.18 and 6,373.30 is: 8,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.16 : 15,744.18 = 6,373.30 : x
  2. Step 2: Convert to fraction form
    11,409.16/15,744.18 = 6,373.30/x
  3. Step 3: Cross multiply
    11,409.16x = 15,744.18 × 6,373.30
  4. Step 4: Simplify right side
    11,409.16x = 100,342,382.39
  5. Step 5: Solve for x
    x = 100,342,382.39/11,409.16
  6. Step 6: Final answer
    x = 8,794.90

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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.