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Finding the Fourth Proportional to 7,763.67, 11,647.53 and 2,837.43

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Solution

The fourth proportional to 7,763.67, 11,647.53 and 2,837.43 is: 4,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.67 : 11,647.53 = 2,837.43 : x
  2. Step 2: Convert to fraction form
    7,763.67/11,647.53 = 2,837.43/x
  3. Step 3: Cross multiply
    7,763.67x = 11,647.53 × 2,837.43
  4. Step 4: Simplify right side
    7,763.67x = 33,049,051.05
  5. Step 5: Solve for x
    x = 33,049,051.05/7,763.67
  6. Step 6: Final answer
    x = 4,256.89

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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.