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Finding the Fourth Proportional to 7,656.25, 11,487.11 and 3,763.39

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Solution

The fourth proportional to 7,656.25, 11,487.11 and 3,763.39 is: 5,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.25 : 11,487.11 = 3,763.39 : x
  2. Step 2: Convert to fraction form
    7,656.25/11,487.11 = 3,763.39/x
  3. Step 3: Cross multiply
    7,656.25x = 11,487.11 × 3,763.39
  4. Step 4: Simplify right side
    7,656.25x = 43,230,474.90
  5. Step 5: Solve for x
    x = 43,230,474.90/7,656.25
  6. Step 6: Final answer
    x = 5,646.43

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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.