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Finding the Fourth Proportional to 7,231.67, 10,853.68 and 5,156.75

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Solution

The fourth proportional to 7,231.67, 10,853.68 and 5,156.75 is: 7,739.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.67 : 10,853.68 = 5,156.75 : x
  2. Step 2: Convert to fraction form
    7,231.67/10,853.68 = 5,156.75/x
  3. Step 3: Cross multiply
    7,231.67x = 10,853.68 × 5,156.75
  4. Step 4: Simplify right side
    7,231.67x = 55,969,714.34
  5. Step 5: Solve for x
    x = 55,969,714.34/7,231.67
  6. Step 6: Final answer
    x = 7,739.53

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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.