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Finding the Fourth Proportional to 11,119.20, 15,344.16 and 6,403.20

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Solution

The fourth proportional to 11,119.20, 15,344.16 and 6,403.20 is: 8,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,119.20 : 15,344.16 = 6,403.20 : x
  2. Step 2: Convert to fraction form
    11,119.20/15,344.16 = 6,403.20/x
  3. Step 3: Cross multiply
    11,119.20x = 15,344.16 × 6,403.20
  4. Step 4: Simplify right side
    11,119.20x = 98,251,725.31
  5. Step 5: Solve for x
    x = 98,251,725.31/11,119.20
  6. Step 6: Final answer
    x = 8,836.22

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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.