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Finding the Fourth Proportional to 7,844.86, 11,755.14 and 4,559.50

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Solution

The fourth proportional to 7,844.86, 11,755.14 and 4,559.50 is: 6,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.86 : 11,755.14 = 4,559.50 : x
  2. Step 2: Convert to fraction form
    7,844.86/11,755.14 = 4,559.50/x
  3. Step 3: Cross multiply
    7,844.86x = 11,755.14 × 4,559.50
  4. Step 4: Simplify right side
    7,844.86x = 53,597,560.83
  5. Step 5: Solve for x
    x = 53,597,560.83/7,844.86
  6. Step 6: Final answer
    x = 6,832.19

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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.