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Finding the Fourth Proportional to 7,028.68, 10,544.76 and 2,098.24

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Solution

The fourth proportional to 7,028.68, 10,544.76 and 2,098.24 is: 3,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.68 : 10,544.76 = 2,098.24 : x
  2. Step 2: Convert to fraction form
    7,028.68/10,544.76 = 2,098.24/x
  3. Step 3: Cross multiply
    7,028.68x = 10,544.76 × 2,098.24
  4. Step 4: Simplify right side
    7,028.68x = 22,125,437.22
  5. Step 5: Solve for x
    x = 22,125,437.22/7,028.68
  6. Step 6: Final answer
    x = 3,147.88

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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.