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Finding the Fourth Proportional to 7,662.76, 10,572.76 and 4,474.25

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Solution

The fourth proportional to 7,662.76, 10,572.76 and 4,474.25 is: 6,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.76 : 10,572.76 = 4,474.25 : x
  2. Step 2: Convert to fraction form
    7,662.76/10,572.76 = 4,474.25/x
  3. Step 3: Cross multiply
    7,662.76x = 10,572.76 × 4,474.25
  4. Step 4: Simplify right side
    7,662.76x = 47,305,149.06
  5. Step 5: Solve for x
    x = 47,305,149.06/7,662.76
  6. Step 6: Final answer
    x = 6,173.38

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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.