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Finding the Fourth Proportional to 7,694.69, 11,539.76 and 2,146.70

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Solution

The fourth proportional to 7,694.69, 11,539.76 and 2,146.70 is: 3,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.69 : 11,539.76 = 2,146.70 : x
  2. Step 2: Convert to fraction form
    7,694.69/11,539.76 = 2,146.70/x
  3. Step 3: Cross multiply
    7,694.69x = 11,539.76 × 2,146.70
  4. Step 4: Simplify right side
    7,694.69x = 24,772,334.36
  5. Step 5: Solve for x
    x = 24,772,334.36/7,694.69
  6. Step 6: Final answer
    x = 3,219.41

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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.