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Finding the Fourth Proportional to 6,684.39, 10,019.52 and 3,562.47

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Solution

The fourth proportional to 6,684.39, 10,019.52 and 3,562.47 is: 5,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.39 : 10,019.52 = 3,562.47 : x
  2. Step 2: Convert to fraction form
    6,684.39/10,019.52 = 3,562.47/x
  3. Step 3: Cross multiply
    6,684.39x = 10,019.52 × 3,562.47
  4. Step 4: Simplify right side
    6,684.39x = 35,694,239.41
  5. Step 5: Solve for x
    x = 35,694,239.41/6,684.39
  6. Step 6: Final answer
    x = 5,339.94

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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.