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Finding the Fourth Proportional to 7,764.18, 11,647.02 and 2,832.66

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Solution

The fourth proportional to 7,764.18, 11,647.02 and 2,832.66 is: 4,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.18 : 11,647.02 = 2,832.66 : x
  2. Step 2: Convert to fraction form
    7,764.18/11,647.02 = 2,832.66/x
  3. Step 3: Cross multiply
    7,764.18x = 11,647.02 × 2,832.66
  4. Step 4: Simplify right side
    7,764.18x = 32,992,047.67
  5. Step 5: Solve for x
    x = 32,992,047.67/7,764.18
  6. Step 6: Final answer
    x = 4,249.26

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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.