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Finding the Fourth Proportional to 7,755.92, 11,635.93 and 4,057.16

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Solution

The fourth proportional to 7,755.92, 11,635.93 and 4,057.16 is: 6,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.92 : 11,635.93 = 4,057.16 : x
  2. Step 2: Convert to fraction form
    7,755.92/11,635.93 = 4,057.16/x
  3. Step 3: Cross multiply
    7,755.92x = 11,635.93 × 4,057.16
  4. Step 4: Simplify right side
    7,755.92x = 47,208,820.29
  5. Step 5: Solve for x
    x = 47,208,820.29/7,755.92
  6. Step 6: Final answer
    x = 6,086.81

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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.