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Finding the Fourth Proportional to 7,211.10, 10,792.65 and 5,231.10

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Solution

The fourth proportional to 7,211.10, 10,792.65 and 5,231.10 is: 7,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.10 : 10,792.65 = 5,231.10 : x
  2. Step 2: Convert to fraction form
    7,211.10/10,792.65 = 5,231.10/x
  3. Step 3: Cross multiply
    7,211.10x = 10,792.65 × 5,231.10
  4. Step 4: Simplify right side
    7,211.10x = 56,457,431.42
  5. Step 5: Solve for x
    x = 56,457,431.42/7,211.10
  6. Step 6: Final answer
    x = 7,829.24

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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.