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Finding the Fourth Proportional to 7,409.64, 11,109.23 and 3,709.22

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Solution

The fourth proportional to 7,409.64, 11,109.23 and 3,709.22 is: 5,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.64 : 11,109.23 = 3,709.22 : x
  2. Step 2: Convert to fraction form
    7,409.64/11,109.23 = 3,709.22/x
  3. Step 3: Cross multiply
    7,409.64x = 11,109.23 × 3,709.22
  4. Step 4: Simplify right side
    7,409.64x = 41,206,578.10
  5. Step 5: Solve for x
    x = 41,206,578.10/7,409.64
  6. Step 6: Final answer
    x = 5,561.21

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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.