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Finding the Fourth Proportional to 7,405.62, 11,096.14 and 5,209.74

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Solution

The fourth proportional to 7,405.62, 11,096.14 and 5,209.74 is: 7,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.62 : 11,096.14 = 5,209.74 : x
  2. Step 2: Convert to fraction form
    7,405.62/11,096.14 = 5,209.74/x
  3. Step 3: Cross multiply
    7,405.62x = 11,096.14 × 5,209.74
  4. Step 4: Simplify right side
    7,405.62x = 57,808,004.40
  5. Step 5: Solve for x
    x = 57,808,004.40/7,405.62
  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.