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Finding the Fourth Proportional to 6,924.53, 10,388.15 and 2,542.02

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Solution

The fourth proportional to 6,924.53, 10,388.15 and 2,542.02 is: 3,813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.53 : 10,388.15 = 2,542.02 : x
  2. Step 2: Convert to fraction form
    6,924.53/10,388.15 = 2,542.02/x
  3. Step 3: Cross multiply
    6,924.53x = 10,388.15 × 2,542.02
  4. Step 4: Simplify right side
    6,924.53x = 26,406,917.39
  5. Step 5: Solve for x
    x = 26,406,917.39/6,924.53
  6. Step 6: Final answer
    x = 3,813.53

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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.