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Finding the Fourth Proportional to 7,098.56, 10,647.84 and 2,418.68

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Solution

The fourth proportional to 7,098.56, 10,647.84 and 2,418.68 is: 3,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.56 : 10,647.84 = 2,418.68 : x
  2. Step 2: Convert to fraction form
    7,098.56/10,647.84 = 2,418.68/x
  3. Step 3: Cross multiply
    7,098.56x = 10,647.84 × 2,418.68
  4. Step 4: Simplify right side
    7,098.56x = 25,753,739.74
  5. Step 5: Solve for x
    x = 25,753,739.74/7,098.56
  6. Step 6: Final answer
    x = 3,628.02

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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.