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Finding the Fourth Proportional to 7,613.54, 11,403.92 and 3,709.76

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Solution

The fourth proportional to 7,613.54, 11,403.92 and 3,709.76 is: 5,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613.54 : 11,403.92 = 3,709.76 : x
  2. Step 2: Convert to fraction form
    7,613.54/11,403.92 = 3,709.76/x
  3. Step 3: Cross multiply
    7,613.54x = 11,403.92 × 3,709.76
  4. Step 4: Simplify right side
    7,613.54x = 42,305,806.26
  5. Step 5: Solve for x
    x = 42,305,806.26/7,613.54
  6. Step 6: Final answer
    x = 5,556.65

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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.