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Finding the Fourth Proportional to 7,476.57, 11,214.72 and 2,282.31

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Solution

The fourth proportional to 7,476.57, 11,214.72 and 2,282.31 is: 3,423.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.57 : 11,214.72 = 2,282.31 : x
  2. Step 2: Convert to fraction form
    7,476.57/11,214.72 = 2,282.31/x
  3. Step 3: Cross multiply
    7,476.57x = 11,214.72 × 2,282.31
  4. Step 4: Simplify right side
    7,476.57x = 25,595,467.60
  5. Step 5: Solve for x
    x = 25,595,467.60/7,476.57
  6. Step 6: Final answer
    x = 3,423.42

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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.