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Finding the Fourth Proportional to 7,630.34, 11,438.66 and 3,245.40

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Solution

The fourth proportional to 7,630.34, 11,438.66 and 3,245.40 is: 4,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.34 : 11,438.66 = 3,245.40 : x
  2. Step 2: Convert to fraction form
    7,630.34/11,438.66 = 3,245.40/x
  3. Step 3: Cross multiply
    7,630.34x = 11,438.66 × 3,245.40
  4. Step 4: Simplify right side
    7,630.34x = 37,123,035.28
  5. Step 5: Solve for x
    x = 37,123,035.28/7,630.34
  6. Step 6: Final answer
    x = 4,865.19

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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.