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Finding the Fourth Proportional to 11,740.92, 17,613.99 and 3,949.50

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Solution

The fourth proportional to 11,740.92, 17,613.99 and 3,949.50 is: 5,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.92 : 17,613.99 = 3,949.50 : x
  2. Step 2: Convert to fraction form
    11,740.92/17,613.99 = 3,949.50/x
  3. Step 3: Cross multiply
    11,740.92x = 17,613.99 × 3,949.50
  4. Step 4: Simplify right side
    11,740.92x = 69,566,453.51
  5. Step 5: Solve for x
    x = 69,566,453.51/11,740.92
  6. Step 6: Final answer
    x = 5,925.13

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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.