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Finding the Fourth Proportional to 7,689.72, 11,519.40 and 3,994.36

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Solution

The fourth proportional to 7,689.72, 11,519.40 and 3,994.36 is: 5,983.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.72 : 11,519.40 = 3,994.36 : x
  2. Step 2: Convert to fraction form
    7,689.72/11,519.40 = 3,994.36/x
  3. Step 3: Cross multiply
    7,689.72x = 11,519.40 × 3,994.36
  4. Step 4: Simplify right side
    7,689.72x = 46,012,630.58
  5. Step 5: Solve for x
    x = 46,012,630.58/7,689.72
  6. Step 6: Final answer
    x = 5,983.65

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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.