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Finding the Fourth Proportional to 7,662.72, 11,483.20 and 3,215.56

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Solution

The fourth proportional to 7,662.72, 11,483.20 and 3,215.56 is: 4,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.72 : 11,483.20 = 3,215.56 : x
  2. Step 2: Convert to fraction form
    7,662.72/11,483.20 = 3,215.56/x
  3. Step 3: Cross multiply
    7,662.72x = 11,483.20 × 3,215.56
  4. Step 4: Simplify right side
    7,662.72x = 36,924,918.59
  5. Step 5: Solve for x
    x = 36,924,918.59/7,662.72
  6. Step 6: Final answer
    x = 4,818.77

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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.