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Finding the Fourth Proportional to 10,267.88, 14,169.72 and 5,552.20

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Solution

The fourth proportional to 10,267.88, 14,169.72 and 5,552.20 is: 7,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.88 : 14,169.72 = 5,552.20 : x
  2. Step 2: Convert to fraction form
    10,267.88/14,169.72 = 5,552.20/x
  3. Step 3: Cross multiply
    10,267.88x = 14,169.72 × 5,552.20
  4. Step 4: Simplify right side
    10,267.88x = 78,673,119.38
  5. Step 5: Solve for x
    x = 78,673,119.38/10,267.88
  6. Step 6: Final answer
    x = 7,662.06

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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.