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Finding the Fourth Proportional to 7,149.06, 10,716.30 and 4,374

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Solution

The fourth proportional to 7,149.06, 10,716.30 and 4,374 is: 6,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.06 : 10,716.30 = 4,374 : x
  2. Step 2: Convert to fraction form
    7,149.06/10,716.30 = 4,374/x
  3. Step 3: Cross multiply
    7,149.06x = 10,716.30 × 4,374
  4. Step 4: Simplify right side
    7,149.06x = 46,873,096.20
  5. Step 5: Solve for x
    x = 46,873,096.20/7,149.06
  6. Step 6: Final answer
    x = 6,556.54

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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.