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Finding the Fourth Proportional to 7,662.38, 11,483.69 and 3,215.04

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Solution

The fourth proportional to 7,662.38, 11,483.69 and 3,215.04 is: 4,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.38 : 11,483.69 = 3,215.04 : x
  2. Step 2: Convert to fraction form
    7,662.38/11,483.69 = 3,215.04/x
  3. Step 3: Cross multiply
    7,662.38x = 11,483.69 × 3,215.04
  4. Step 4: Simplify right side
    7,662.38x = 36,920,530.74
  5. Step 5: Solve for x
    x = 36,920,530.74/7,662.38
  6. Step 6: Final answer
    x = 4,818.41

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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.