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Finding the Fourth Proportional to 7,655.44, 11,478.78 and 3,209.36

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Solution

The fourth proportional to 7,655.44, 11,478.78 and 3,209.36 is: 4,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.44 : 11,478.78 = 3,209.36 : x
  2. Step 2: Convert to fraction form
    7,655.44/11,478.78 = 3,209.36/x
  3. Step 3: Cross multiply
    7,655.44x = 11,478.78 × 3,209.36
  4. Step 4: Simplify right side
    7,655.44x = 36,839,537.38
  5. Step 5: Solve for x
    x = 36,839,537.38/7,655.44
  6. Step 6: Final answer
    x = 4,812.20

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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.