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Finding the Fourth Proportional to 7,409.50, 11,119.72 and 3,513.92

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Solution

The fourth proportional to 7,409.50, 11,119.72 and 3,513.92 is: 5,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.50 : 11,119.72 = 3,513.92 : x
  2. Step 2: Convert to fraction form
    7,409.50/11,119.72 = 3,513.92/x
  3. Step 3: Cross multiply
    7,409.50x = 11,119.72 × 3,513.92
  4. Step 4: Simplify right side
    7,409.50x = 39,073,806.50
  5. Step 5: Solve for x
    x = 39,073,806.50/7,409.50
  6. Step 6: Final answer
    x = 5,273.47

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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.