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Finding the Fourth Proportional to 7,151.25, 10,714.37 and 4,961.37

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Solution

The fourth proportional to 7,151.25, 10,714.37 and 4,961.37 is: 7,433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.25 : 10,714.37 = 4,961.37 : x
  2. Step 2: Convert to fraction form
    7,151.25/10,714.37 = 4,961.37/x
  3. Step 3: Cross multiply
    7,151.25x = 10,714.37 × 4,961.37
  4. Step 4: Simplify right side
    7,151.25x = 53,157,929.08
  5. Step 5: Solve for x
    x = 53,157,929.08/7,151.25
  6. Step 6: Final answer
    x = 7,433.38

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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.