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Finding the Fourth Proportional to 7,694.75, 10,618.72 and 4,157.95

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Solution

The fourth proportional to 7,694.75, 10,618.72 and 4,157.95 is: 5,737.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,694.75 : 10,618.72 = 4,157.95 : x
  2. Step 2: Convert to fraction form
    7,694.75/10,618.72 = 4,157.95/x
  3. Step 3: Cross multiply
    7,694.75x = 10,618.72 × 4,157.95
  4. Step 4: Simplify right side
    7,694.75x = 44,152,106.82
  5. Step 5: Solve for x
    x = 44,152,106.82/7,694.75
  6. Step 6: Final answer
    x = 5,737.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.