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Finding the Fourth Proportional to 7,630.30, 11,446.86 and 3,472.30

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Solution

The fourth proportional to 7,630.30, 11,446.86 and 3,472.30 is: 5,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.30 : 11,446.86 = 3,472.30 : x
  2. Step 2: Convert to fraction form
    7,630.30/11,446.86 = 3,472.30/x
  3. Step 3: Cross multiply
    7,630.30x = 11,446.86 × 3,472.30
  4. Step 4: Simplify right side
    7,630.30x = 39,746,931.98
  5. Step 5: Solve for x
    x = 39,746,931.98/7,630.30
  6. Step 6: Final answer
    x = 5,209.09

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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.