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Finding the Fourth Proportional to 7,405.63, 11,096.13 and 5,209.75

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Solution

The fourth proportional to 7,405.63, 11,096.13 and 5,209.75 is: 7,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.63 : 11,096.13 = 5,209.75 : x
  2. Step 2: Convert to fraction form
    7,405.63/11,096.13 = 5,209.75/x
  3. Step 3: Cross multiply
    7,405.63x = 11,096.13 × 5,209.75
  4. Step 4: Simplify right side
    7,405.63x = 57,808,063.27
  5. Step 5: Solve for x
    x = 57,808,063.27/7,405.63
  6. Step 6: Final answer
    x = 7,805.96

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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.