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Finding the Fourth Proportional to 7,231.70, 10,851.15 and 4,114.10

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Solution

The fourth proportional to 7,231.70, 10,851.15 and 4,114.10 is: 6,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.70 : 10,851.15 = 4,114.10 : x
  2. Step 2: Convert to fraction form
    7,231.70/10,851.15 = 4,114.10/x
  3. Step 3: Cross multiply
    7,231.70x = 10,851.15 × 4,114.10
  4. Step 4: Simplify right side
    7,231.70x = 44,642,716.22
  5. Step 5: Solve for x
    x = 44,642,716.22/7,231.70
  6. Step 6: Final answer
    x = 6,173.20

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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.