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Finding the Fourth Proportional to 11,423.14, 15,764.22 and 6,387.90

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Solution

The fourth proportional to 11,423.14, 15,764.22 and 6,387.90 is: 8,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423.14 : 15,764.22 = 6,387.90 : x
  2. Step 2: Convert to fraction form
    11,423.14/15,764.22 = 6,387.90/x
  3. Step 3: Cross multiply
    11,423.14x = 15,764.22 × 6,387.90
  4. Step 4: Simplify right side
    11,423.14x = 100,700,260.94
  5. Step 5: Solve for x
    x = 100,700,260.94/11,423.14
  6. Step 6: Final answer
    x = 8,815.46

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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.