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Finding the Fourth Proportional to 7,764.68, 11,647.77 and 2,833.16

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Solution

The fourth proportional to 7,764.68, 11,647.77 and 2,833.16 is: 4,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.68 : 11,647.77 = 2,833.16 : x
  2. Step 2: Convert to fraction form
    7,764.68/11,647.77 = 2,833.16/x
  3. Step 3: Cross multiply
    7,764.68x = 11,647.77 × 2,833.16
  4. Step 4: Simplify right side
    7,764.68x = 32,999,996.05
  5. Step 5: Solve for x
    x = 32,999,996.05/7,764.68
  6. Step 6: Final answer
    x = 4,250.01

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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.