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Finding the Fourth Proportional to 7,763.12, 11,646 and 2,839.64

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Solution

The fourth proportional to 7,763.12, 11,646 and 2,839.64 is: 4,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.12 : 11,646 = 2,839.64 : x
  2. Step 2: Convert to fraction form
    7,763.12/11,646 = 2,839.64/x
  3. Step 3: Cross multiply
    7,763.12x = 11,646 × 2,839.64
  4. Step 4: Simplify right side
    7,763.12x = 33,070,447.44
  5. Step 5: Solve for x
    x = 33,070,447.44/7,763.12
  6. Step 6: Final answer
    x = 4,259.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.