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Finding the Fourth Proportional to 7,628.82, 11,432.82 and 4,668.29

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Solution

The fourth proportional to 7,628.82, 11,432.82 and 4,668.29 is: 6,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.82 : 11,432.82 = 4,668.29 : x
  2. Step 2: Convert to fraction form
    7,628.82/11,432.82 = 4,668.29/x
  3. Step 3: Cross multiply
    7,628.82x = 11,432.82 × 4,668.29
  4. Step 4: Simplify right side
    7,628.82x = 53,371,662.11
  5. Step 5: Solve for x
    x = 53,371,662.11/7,628.82
  6. Step 6: Final answer
    x = 6,996.06

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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.