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Finding the Fourth Proportional to 7,564.52, 11,344.56 and 3,181.88

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Solution

The fourth proportional to 7,564.52, 11,344.56 and 3,181.88 is: 4,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.52 : 11,344.56 = 3,181.88 : x
  2. Step 2: Convert to fraction form
    7,564.52/11,344.56 = 3,181.88/x
  3. Step 3: Cross multiply
    7,564.52x = 11,344.56 × 3,181.88
  4. Step 4: Simplify right side
    7,564.52x = 36,097,028.57
  5. Step 5: Solve for x
    x = 36,097,028.57/7,564.52
  6. Step 6: Final answer
    x = 4,771.89

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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.