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Finding the Fourth Proportional to 10,267.43, 14,169.08 and 5,551.73

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Solution

The fourth proportional to 10,267.43, 14,169.08 and 5,551.73 is: 7,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.43 : 14,169.08 = 5,551.73 : x
  2. Step 2: Convert to fraction form
    10,267.43/14,169.08 = 5,551.73/x
  3. Step 3: Cross multiply
    10,267.43x = 14,169.08 × 5,551.73
  4. Step 4: Simplify right side
    10,267.43x = 78,662,878.75
  5. Step 5: Solve for x
    x = 78,662,878.75/10,267.43
  6. Step 6: Final answer
    x = 7,661.40

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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.