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Finding the Fourth Proportional to 7,539.03, 11,308.64 and 2,857.78

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Solution

The fourth proportional to 7,539.03, 11,308.64 and 2,857.78 is: 4,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.03 : 11,308.64 = 2,857.78 : x
  2. Step 2: Convert to fraction form
    7,539.03/11,308.64 = 2,857.78/x
  3. Step 3: Cross multiply
    7,539.03x = 11,308.64 × 2,857.78
  4. Step 4: Simplify right side
    7,539.03x = 32,317,605.22
  5. Step 5: Solve for x
    x = 32,317,605.22/7,539.03
  6. Step 6: Final answer
    x = 4,286.71

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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.