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Finding the Fourth Proportional to 7,580.46, 11,371.05 and 2,964.54

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Solution

The fourth proportional to 7,580.46, 11,371.05 and 2,964.54 is: 4,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.46 : 11,371.05 = 2,964.54 : x
  2. Step 2: Convert to fraction form
    7,580.46/11,371.05 = 2,964.54/x
  3. Step 3: Cross multiply
    7,580.46x = 11,371.05 × 2,964.54
  4. Step 4: Simplify right side
    7,580.46x = 33,709,932.57
  5. Step 5: Solve for x
    x = 33,709,932.57/7,580.46
  6. Step 6: Final answer
    x = 4,446.95

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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.