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Finding the Fourth Proportional to 7,675.92, 11,517.12 and 3,784.68

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Solution

The fourth proportional to 7,675.92, 11,517.12 and 3,784.68 is: 5,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.92 : 11,517.12 = 3,784.68 : x
  2. Step 2: Convert to fraction form
    7,675.92/11,517.12 = 3,784.68/x
  3. Step 3: Cross multiply
    7,675.92x = 11,517.12 × 3,784.68
  4. Step 4: Simplify right side
    7,675.92x = 43,588,613.72
  5. Step 5: Solve for x
    x = 43,588,613.72/7,675.92
  6. Step 6: Final answer
    x = 5,678.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.