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Finding the Fourth Proportional to 7,630.80, 11,446.24 and 2,293.28

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Solution

The fourth proportional to 7,630.80, 11,446.24 and 2,293.28 is: 3,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.80 : 11,446.24 = 2,293.28 : x
  2. Step 2: Convert to fraction form
    7,630.80/11,446.24 = 2,293.28/x
  3. Step 3: Cross multiply
    7,630.80x = 11,446.24 × 2,293.28
  4. Step 4: Simplify right side
    7,630.80x = 26,249,433.27
  5. Step 5: Solve for x
    x = 26,249,433.27/7,630.80
  6. Step 6: Final answer
    x = 3,439.93

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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.