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Finding the Fourth Proportional to 7,207.72, 10,805.20 and 3,457.46

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Solution

The fourth proportional to 7,207.72, 10,805.20 and 3,457.46 is: 5,183.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207.72 : 10,805.20 = 3,457.46 : x
  2. Step 2: Convert to fraction form
    7,207.72/10,805.20 = 3,457.46/x
  3. Step 3: Cross multiply
    7,207.72x = 10,805.20 × 3,457.46
  4. Step 4: Simplify right side
    7,207.72x = 37,358,546.79
  5. Step 5: Solve for x
    x = 37,358,546.79/7,207.72
  6. Step 6: Final answer
    x = 5,183.13

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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.