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Finding the Fourth Proportional to 7,463.88, 11,198.16 and 3,083.40

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Solution

The fourth proportional to 7,463.88, 11,198.16 and 3,083.40 is: 4,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.88 : 11,198.16 = 3,083.40 : x
  2. Step 2: Convert to fraction form
    7,463.88/11,198.16 = 3,083.40/x
  3. Step 3: Cross multiply
    7,463.88x = 11,198.16 × 3,083.40
  4. Step 4: Simplify right side
    7,463.88x = 34,528,406.54
  5. Step 5: Solve for x
    x = 34,528,406.54/7,463.88
  6. Step 6: Final answer
    x = 4,626.07

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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.