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Finding the Fourth Proportional to 8,314.25, 12,468.03 and 3,048.03

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Solution

The fourth proportional to 8,314.25, 12,468.03 and 3,048.03 is: 4,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.25 : 12,468.03 = 3,048.03 : x
  2. Step 2: Convert to fraction form
    8,314.25/12,468.03 = 3,048.03/x
  3. Step 3: Cross multiply
    8,314.25x = 12,468.03 × 3,048.03
  4. Step 4: Simplify right side
    8,314.25x = 38,002,918.05
  5. Step 5: Solve for x
    x = 38,002,918.05/8,314.25
  6. Step 6: Final answer
    x = 4,570.82

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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.