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Finding the Fourth Proportional to 7,770.83, 11,649.24 and 2,837.03

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Solution

The fourth proportional to 7,770.83, 11,649.24 and 2,837.03 is: 4,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.83 : 11,649.24 = 2,837.03 : x
  2. Step 2: Convert to fraction form
    7,770.83/11,649.24 = 2,837.03/x
  3. Step 3: Cross multiply
    7,770.83x = 11,649.24 × 2,837.03
  4. Step 4: Simplify right side
    7,770.83x = 33,049,185.11
  5. Step 5: Solve for x
    x = 33,049,185.11/7,770.83
  6. Step 6: Final answer
    x = 4,252.98

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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.