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Finding the Fourth Proportional to 7,930.88, 11,896.34 and 2,384.80

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Solution

The fourth proportional to 7,930.88, 11,896.34 and 2,384.80 is: 3,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.88 : 11,896.34 = 2,384.80 : x
  2. Step 2: Convert to fraction form
    7,930.88/11,896.34 = 2,384.80/x
  3. Step 3: Cross multiply
    7,930.88x = 11,896.34 × 2,384.80
  4. Step 4: Simplify right side
    7,930.88x = 28,370,391.63
  5. Step 5: Solve for x
    x = 28,370,391.63/7,930.88
  6. Step 6: Final answer
    x = 3,577.21

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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.