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Finding the Fourth Proportional to 7,755.75, 11,635.92 and 4,471.20

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Solution

The fourth proportional to 7,755.75, 11,635.92 and 4,471.20 is: 6,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.75 : 11,635.92 = 4,471.20 : x
  2. Step 2: Convert to fraction form
    7,755.75/11,635.92 = 4,471.20/x
  3. Step 3: Cross multiply
    7,755.75x = 11,635.92 × 4,471.20
  4. Step 4: Simplify right side
    7,755.75x = 52,026,525.50
  5. Step 5: Solve for x
    x = 52,026,525.50/7,755.75
  6. Step 6: Final answer
    x = 6,708.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.